Consider the Cauchy problem for the evolution p Laplacian equation[HL(2:0,2Z;1,Z]ut=div(|u| p-2 u),(x,t)∈Q T=R n×(0,T), u(x,0)=u 0(x)∈L ∞(R N),x∈R N.In terms of the uniform estimates to the reguli...Consider the Cauchy problem for the evolution p Laplacian equation[HL(2:0,2Z;1,Z]ut=div(|u| p-2 u),(x,t)∈Q T=R n×(0,T), u(x,0)=u 0(x)∈L ∞(R N),x∈R N.In terms of the uniform estimates to the regulized solutions of the problem above, we prove that u x j ∈c β,β/(1+β) loc (Q T), where the Hlder exponent with respect to t is great than β2.展开更多
By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Ree...By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Rees factor) acts.展开更多
In this paper,an iterative regularized super resolution (SR) algorithm considering non-Gaussian noise is proposed.Based on the assumption of a generalized Gaussian distribution for the contaminating noise,an lp norm i...In this paper,an iterative regularized super resolution (SR) algorithm considering non-Gaussian noise is proposed.Based on the assumption of a generalized Gaussian distribution for the contaminating noise,an lp norm is adopted to measure the data fidelity term in the cost function.In the meantime,a regularization functional defined in terms of the desired high resolution (HR) image is employed,which allows for the simultaneous determination of its value and the partly reconstructed image at each iteration step.The convergence is thoroughly studied.Simulation results show the effectiveness of the proposed algorithm as well as its superiority to conventional SR methods.展开更多
In this paper some theorems on fixed points of pair of asymptotically regularmappings in p-uniformly convex Banach space are proved For these mappings somefixed point theorems in a Hilbert space.in Lp spaces in Hardy ...In this paper some theorems on fixed points of pair of asymptotically regularmappings in p-uniformly convex Banach space are proved For these mappings somefixed point theorems in a Hilbert space.in Lp spaces in Hardy spaces Hp and in Sobolev spaces Hpk for 1<P<+∞ and K>0 are also established.Thus resultsof Gornicki Kruppel and others are extended.展开更多
Some characterizations of preregular operators between two Banach lattices are presented. Then several sufficient conditions for preregular operators being regular are given, and some related results are also obtained.
In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order t...In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals.展开更多
If X = U{Xn: N} is a regular space, Xn has aσ-locally finite PF-regular closed net, and Xn is a closed subset of X for each n N, then X has a σ-locally finite PP-regular closed net;
文摘Consider the Cauchy problem for the evolution p Laplacian equation[HL(2:0,2Z;1,Z]ut=div(|u| p-2 u),(x,t)∈Q T=R n×(0,T), u(x,0)=u 0(x)∈L ∞(R N),x∈R N.In terms of the uniform estimates to the regulized solutions of the problem above, we prove that u x j ∈c β,β/(1+β) loc (Q T), where the Hlder exponent with respect to t is great than β2.
文摘By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Rees factor) acts.
基金Supported by the Natural Science Foundation of Anhui Provincia Education Department(KJ2017A341)the Talent Project of Fuyang Normal University(RCXM201714)+1 种基金the second author is supported by the Natural Science Foundation of Anhui Province of China(1608085MA03)the Fundamental Research Funds of Tongling Xueyuan Rencai Program(2015TLXYRC09)
基金National Natural Science Foundations of China(No.60705012,No.60802025)
文摘In this paper,an iterative regularized super resolution (SR) algorithm considering non-Gaussian noise is proposed.Based on the assumption of a generalized Gaussian distribution for the contaminating noise,an lp norm is adopted to measure the data fidelity term in the cost function.In the meantime,a regularization functional defined in terms of the desired high resolution (HR) image is employed,which allows for the simultaneous determination of its value and the partly reconstructed image at each iteration step.The convergence is thoroughly studied.Simulation results show the effectiveness of the proposed algorithm as well as its superiority to conventional SR methods.
文摘In this paper some theorems on fixed points of pair of asymptotically regularmappings in p-uniformly convex Banach space are proved For these mappings somefixed point theorems in a Hilbert space.in Lp spaces in Hardy spaces Hp and in Sobolev spaces Hpk for 1<P<+∞ and K>0 are also established.Thus resultsof Gornicki Kruppel and others are extended.
文摘Some characterizations of preregular operators between two Banach lattices are presented. Then several sufficient conditions for preregular operators being regular are given, and some related results are also obtained.
基金supported by the Natural Science Foundation of Hunan Province of China(2022JJ30369)the Education Department Important Foundation of Hunan Province in China(23A0095)。
文摘In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals.
文摘If X = U{Xn: N} is a regular space, Xn has aσ-locally finite PF-regular closed net, and Xn is a closed subset of X for each n N, then X has a σ-locally finite PP-regular closed net;
