Dear Editor,We read with interest the recently published study by Trigueros et al([1]),highlighting the financial and management conditions of femtosecond laser-assisted cataract surgery(FLACS).The authors derived...Dear Editor,We read with interest the recently published study by Trigueros et al([1]),highlighting the financial and management conditions of femtosecond laser-assisted cataract surgery(FLACS).The authors derived a simulation to estimate.展开更多
In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach fu...In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach function spaces,denoted by RIBFS.It is shown in this paper that variation operators of singular integrals and their commutators are bounded on RIBFS whenever the kernels satisfy the L~r-H?rmander conditions.Moreover,we obtain some quantitative weighted bounds in the quasi-Banach spaces and modular inequalities for above variation operators and their commutators.展开更多
文摘Dear Editor,We read with interest the recently published study by Trigueros et al([1]),highlighting the financial and management conditions of femtosecond laser-assisted cataract surgery(FLACS).The authors derived a simulation to estimate.
基金supported partly by the National Key R&D Program of China (Grant No.2020YFA0712900)NNSF of China (Grant Nos. 11871101, 12271041)。
文摘In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach function spaces,denoted by RIBFS.It is shown in this paper that variation operators of singular integrals and their commutators are bounded on RIBFS whenever the kernels satisfy the L~r-H?rmander conditions.Moreover,we obtain some quantitative weighted bounds in the quasi-Banach spaces and modular inequalities for above variation operators and their commutators.