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Anisotropic Mixed-Norm Hardy Spaces

G. Cleanthous, A. G. Georgiadis, and M. Nielsen. Anisotropic Mixed-Norm Hardy Spaces. The Journal of Geometric Analysis, pp. 1–30, 2017.

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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.

BibTeX

@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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