Anisotropic mixed-norm Hardy spaces

G. Cleanthous, Athanasios Georgiadis, Morten Nielsen

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62 Citationer (Scopus)

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.
OriginalsprogEngelsk
TidsskriftJournal of Geometric Analysis
Vol/bind27
Udgave nummer4
Sider (fra-til)2758-2787
Antal sider30
ISSN1050-6926
DOI
StatusUdgivet - 2017

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