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G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Anisotropic Mixed-Norm Hardy Spaces. The Journal of Geometric Analysis, pp. 1–30, 2017.
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.
@article{Cleanthous:2017aa, 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.}, Author = {Cleanthous, G. and Georgiadis, A. G. and Nielsen, M.}, Bib2Html_Dl_Html = {http://dx.doi.org/10.1007/s12220-017-9781-8}, Bib2Html_Pubtype = {Journal Article}, Date-Added = {2017-02-28 13:44:58 +0000}, Date-Modified = {2019-03-04 15:22:07 +0100}, Issn = {1559-002X}, Journal = {The Journal of Geometric Analysis}, Pages = {1--30}, Title = {Anisotropic Mixed-Norm Hardy Spaces}, Year = {2017}, Bdsk-Url-1 = {http://dx.doi.org/10.1007/s12220-017-9781-8}}
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