首页|MAXIMAL FUNCTION CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BOTH NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES AND BALL QUASI-BANACH FUNCTION SPACES

MAXIMAL FUNCTION CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BOTH NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES AND BALL QUASI-BANACH FUNCTION SPACES

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Assume that L is a non-negative self-adjoint operator on L2(Rn)with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X is a ball quasi-Banach function space on Rn satisfying some mild assumptions.Let HX,L(Rn)be the Hardy space associated with both X and L,which is defined by the Lusin area function related to the semigroup generated by L.In this article,the authors establish various maximal func-tion characterizations of the Hardy space HX,L(Rn)and then apply these characterizations to obtain the solvability of the related Cauchy problem.These results have a wide range of generality and,in particular,the specific spaces X to which these results can be applied include the weighted space,the variable space,the mixed-norm space,the Orlicz space,the Orlicz-slice space,and the Morrey space.Moreover,the obtained maximal function character-izations of the mixed-norm Hardy space,the Orlicz-slice Hardy space,and the Morrey-Hardy space associated with L are completely new.

Hardy spaceball quasi-Banach function spaceGaussian upper bound esti-matenon-negative self-adjoint operatormaximal function

林孝盛、杨大春、杨四辈、袁文

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Laboratory of Mathematics and Complex Systems(Ministry of Education of China),School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China

School of Mathematics and Statistics,Gansu Key Laboratory of Applied Mathematics and Complex Systems,Lanzhou University,Lanzhou 730000,China

National Key Research and Development Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaKey Project of Gansu Provincial National Science FoundationFundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central UniversitiesInnovative Groups of Basic Research in Gansu Province

2020YFA07129001237109312071197121221021207143123JRRA10222233300008lzujbky-2021-eyl822JR5RA391

2024

10.1007/s10473-024-0207-y

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子：0.256
ISSN：0252-9602
年,卷(期)：2024.44(2)
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