Anisotropic Mixed-Norm Hardy Spaces |
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| Authors: | G. Cleanthous A. G. Georgiadis M. Nielsen |
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| Affiliation: | 1.Department of Mathematics,Aristotle University of Thessaloniki,Thessaloniki,Greece;2.Department of Mathematical Sciences,Aalborg University,Aalborg,Denmark |
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| Abstract: | ![]()
We introduce and explore Hardy spaces defined by mixed Lebesgue norms and anisotropic dilations. We prove that the definitions of these spaces in terms of smooth, non-tangential, auxiliary, grand, and Poisson maximal operators coincide. We also study the relation between anisotropic mixed-norm Hardy spaces and mixed-norm Lebesgue spaces. |
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