BOUNDS FOR MULTILINEAR OPERATORS UNDER AN INTEGRAL TYPE CONDITION ON MORREY SPACES

In this paper,we study a boundedness property of the Adams type for multilinear fractional integral operators with the multilinear L^(r′,α)-Hörmander condition and their commutators with vector valued BMO functions on a Morrey space and a predual Morrey space.Moreover,we give an endpoint estimate for multilinear fractional integral operators.As an application,we obtain the boundedness of multilinear Fourier multipliers with limited Sobolev regularity on a Morrey space.

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

In this paper,we consider the boundedness of multilinear Littlewood-Paley operators which include multilinear g-function,multilinear Lusin's area integral and multilinear Littlewood-Paley g^*λ-function.Furthermore,norm inequalities of the above operators hold on the corresponding Amalgam-Campanato spaces.

Sharp Bound for the Generalized m-Linear n-Dimensional Hardy-Littlewood-Polya Operator

In this paper,we calculate the sharp bound for the generalized m-linear n-dimensional Hardy-Littlewood-Polya operator on power weighted central and non-central homogeneous Morrey spaces.As an application,the sharp bound for the Hardy-Littlewood-Polya operator on power weighted central and noncentral homo-geneous Morrey spaces is obtained.Finally,we also find the sharp bound for the Hausdorff operator on power weighted central and noncentral homogeneous Morrey spaces,which generalizes the previous results.

Boundedness of the Multilinear Maximal Operator with the Hausdorff Content

In this paper,we establish the strong and weak boundedness of the multilinear maximal operator in the setting of the Choquet integral with respect to theαdimensional Hausdorff content.Our results cover Orobitg and Verdera’s results in[8].

Light-triggered nitric oxide release and structure transformation of peptide for enhanced intratumoral retention and sensitized photodynamic therapy

Tumor-targeted delivery of nanomedicine is of great importance to improve therapeutic efficacy of cancer and minimize systemic side effects.Unfortunately,nowadays the targeting efficiency of nanomedicine toward tumor is still quite limited and far from clinical requirements.In this work,we develop an innovative peptide-based nanoparticle to realize light-triggered nitric oxide(NO)release and structural transformation for enhanced intratumoral retention and simultaneously sensitizing photodynamic therapy(PDT).The designed nanoparticle is self-assembled from a chimeric peptide monomer,TPP-RRRKLVFFK-Ce6,which contains a photosensitive moiety(chlorin e6,Ce6),aβ-sheet-forming peptide domain(Lys-Leu-Val-Phe-Phe,KLVFF),an oligoarginine domain(RRR)as NO donor and a triphenylphosphonium(TPP)moiety for targeting mitochondria.When irradiated by light,the constructed nanoparticles undergo rapid structural transformation from nanosphere to nanorod,enabling to achieve a significantly higher intratumoral accumulation by 3.26 times compared to that without light irradiation.More importantly,the conversion of generated NO and reactive oxygen species(ROS)in a light-responsive way to peroxynitrite anions(ONOO)with higher cytotoxicity enables NO to sensitize PDT in cancer treatment.Both in vitro and in vivo studies demonstrate that NO sensitized PDT based on the well-designed transformable nanoparticles enables to eradicate tumors efficiently.The light-triggered transformable nanoplatform developed in this work provides a new strategy for enhanced intratumoral retention and improved therapeutic outcome.

Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces

We will prove that for 1<p<∞and 0<λ<n,the central Morrey norm of the truncated centered Hardy-Littlewood maximal operator Mcγequals that of the centered Hardy-Littlewood maximal operator for all 0<γ<+∞.When p=1 and 0<λ<n,it turns out that the weak central Morrey norm of the truncated centered Hardy-Littlewood maximal operator Mcγequals that of the centered Hardy-Littlewood maximal operator for all 0<λ<+∞.Moreover,the same results are true for the truncated uncentered Hardy-Littlewood maximal operator.Our work extends the previous results of Lebesgue spaces to Morrey spaces.

Camptothecin@HMSNs/thermosensitive hydrogel composite for applications in preventing local breast cancer recurrence

Camptothecin has a strong tumor killing ability for a variety of tumor cells with its special anti-cancer mechanism including the breast cancer. However, because of its infinite hydrophobic property, its clinical application has been greatly limited. Early prevention of loco regional recurrence for the breast cancer is critical for patients who have undergone breast-conserving therapy. In the study,CPT was used for the inhibition of the recurrence after the operation. The hollow mesoporous silica nanoparticles were used as the carrier to improve the hydrophilic property and increase its bioavailability with the high loading capacity. The ability of the cellular uptake and antitumor activity was increased. Hydrogel was the ideal carrier for local therapy, so the CPT@HMSNs were loaded into the PLEL thermo sensitive hydrogel to be injected into the tumor sites after the tumor was resected. The recurrence was reduced in the group of CPT-HMSNs-PLEL and the side effect of CPT was decreased. They exhibit distinguished potential as drug carrier for local delivery.

Novel photo-theranostic GdB_(6) nanoparticles for fluorescence imaging and NIR-photothermal therapy

The development of multifunctional theranostic nano-agents is an important resolution for personalized treatment of cancer.In this work,we synthesized a new kind of gadolinium boride nanoparticles(GBN)by a microwave-assisted chemical etching method,and discovered their optical characteristics including fluorescence imaging and near-infrared(NIR)photothermal conversion capability.Bright greenishyellow fluorescence enabled for intracellular localization,while effective NIR-photothermal conversion supported photothermal therapy(PTT).In vitro and in vivo results indicated that GBN exhibited a superior antitumor performance and high biocompatibility.This study demonstrated a promising multifunctional theranostic nanoplatform for cancer treatment.

Fe-porphyrin:A redox-related biosensor of hydrogen molecule

Hydrogen molecule(H_(2))exhibits broad-spectrum but microenvironment-dependent biomedical effects in varied oxidation stress-related diseases,but its molecular mechanism is unclear and its targeting molecule is unknown so far.Herein,we originally reveal that Fe-porphyrin is a H_(2)-targeted molecule.We have demonstrated that the oxidized Fe-porphyrin in both free and protein-confining states can self-catalyze the hydrogenation/reduction by reacting with H_(2)to catalytically scavenge∙OH,and can also catalytically hydrogenate to reduce CO_(2)into CO in the hypoxic microenvironment of in vitro simulation and in vivo tumor,confirming that Fe-porphyrin is a redox-related biosensor of H_(2)and H_(2)is an upstream signaling molecule of CO.These discoveries are favorable for deep understanding and exploration of profound biomedical effects of H2,and helpful for development of innovative drugs and hydrogen energy/agricultural materials.

Nanostructured polyvinylpyrrolidone-curcumin conjugates allowed for kidney-targeted treatment of cisplatin induced acute kidney injury

Acute kidney injury(AKI)leads to unacceptably high mortality due to difficulties in timely intervention and less efficient renal delivery of therapeutic drugs.Here,a series of polyvinylpyrrolidone(PVP)-curcumin nanoparticles(PCurNP)are designed to meet the renal excretion threshold(~45 kDa),presenting a controllable delivery nanosystem for kidney targeting.Renal accumulation of the relatively small nanoparticles,^(89)Zr-PCurNP M10 with the diameter between 5 and 8 nm,is found to be 1.7 times and 1.8 times higher than the accumulation of^(89)Zr-PCurNP M29(20-50 nm)and M40(20-50 nm)as revealed by PET imaging.Furthermore,serum creatinine analysis,kidney tissues histology,and tubular injury scores revealed that PCurNP M10 efficiently treated cisplatin-induced AKI.Herein,PCurNP offers a novel and simple strategy for precise PET image-guided drug delivery of renal protective materials.

Zn-Fe primary battery-enabled controlled hydrogen release in stomach for improving insulin resistance in obesity-associated type 2 diabetes

Chronic systemic inflammation in obesity-associated type 2 diabetes (T2D) is a key inducing factor of insulin resistance (IR). Hydrogen molecule (H2) has been proved to be a safe and effective anti-inflammatory agent, but conventional H2 administration methods cannot provide a high dosage and a long duration of H2 treatment in IR-related tissues and thus lead to limited therapeutic efficacies. We here propose a new strategy of controlled H2 release to match the time window of gastric emptying for maximizing the bioavailability and therapeutic outcome of H2. This work enhances the hydrolysis rate of Zn by constructing a Zn-Fe primary-battery micro-/ nano-structure, and the H2-releasing rate is adjusted by tuning the ratio of Zn to Fe. The Zn-Fe micro-/nano-structure is orally administrated once daily to alleviate obesity-associated T2D in a leptin-deficient (ob/ob) mouse model. The H2 generation time of the Zn-Fe primary-battery micro-/nano-structure with the Fe/Zn ratio of 1:100 in gastric acid is about 3 h, just matching with the time window of gastric emptying in mice. In vivo monitoring results show that H2 generated by Zn-Fe micro-/nano-structure in stomach can effectively accumulate in major IR-sited tissues including liver, adipose tissue, and skeletal muscle at a high dose for a relatively long time compared to H2-rich water drinking. Oral administration of Zn-Fe micro-/nano-structure at 200 mg/kg body weight has realized an efficient IR improvement and remarkably ameliorated systemic inflammation in ob/ ob mice. In addition, a high-dose administration of Zn-Fe shows no visible toxicity in mice. This work provides a new strategy to maximize the outcome of hydrogen therapy.

A nanoconcrete welding strategy for constructing high-performance wound dressing

Engineering biomaterials to meet specific biomedical applications raises high requirements of mechanical performances,and simultaneous strengthening and toughening of polymer are frequently necessary but very challenging in many cases.In this work,we propose a new concept of nanoconcrete welding polymer chains,where mesoporous CaCO3(mCaCO_(3))nanoconcretes which are composed of amorphous and nanocrystalline phases are developed to powerfully weld polymer chains through siphoning-induced occlusion,hydration-driven crystallization and dehydration-driven compression of nanoconcretes.The mCaCO_(3) nanoconcrete welding technology is verified to be able to remarkably augment strength,toughness and anti-fatigue performances of a model polymer poly(3-hydroxybutyrate-co-3-hydroxyvalerate)-based porous membrane.Mechanistically,we have revealed polymer-occluded nanocrystal structure and welding-derived microstress which is much stronger than interfacial Van der Waals force,thus efficiently preventing the generation of microcracks and repairing initial microcracks by microcracks-induced hydration,crystallization and polymer welding of mCaCO_(3) nanoconcretes.Constructed porous membrane is used as wound dressing,exhibiting a special nanoplates-constructed surface topography as well as a porous structure with plentiful oriented,aligned and opened pore channels,improved hydrophilicity,water vapor permeability,anti-bacterial and cell adherence,in support of wound healing and skin structural/functional repairing.The proposed nanoconcrete-welding-polymer strategy breaks a new pathway for improving the mechanical performances of polymers.

双线性分数次积分算子及其交换子在Morrey空间中的加权估计

本文考虑如下形式的双线性分数次积分算子:■,研究它的一般交换子在Morrey空间中的双权估计.本文证明了这些算子的一个极大函数控制定理,即当权属于A∞时,这些算子的加权Morrey范数可以被一种自然的极大算子的加权Morrey范数来控制.作为定理的推论,本文得到双线性形式的Olsen不等式、Fefferman-Stein型对偶不等式以及与双线性Hilbert变换相关的双线性极大函数的新的加权估计.作为重要的应用,本文建立双线性版本的Stein-Weiss分数次积分不等式.