Hardy spaces on \(\mathbb R^{n}\) with pointwise variable anisotropy

DOI10.1007/s00041-011-9176-3zbMath1236.42014OpenAlexW2076808868MaRDI QIDQ650092

Tal Weissblat, Shai Dekel, Pencho P. Petrushev

Publication date: 25 November 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-011-9176-3

zbMATH Keywords

atomic decompositionspaces of homogeneous typereal Hardy spaceanisotropic function spaceBownik's space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Multidimensional problems (41A63) (H^p)-spaces (42B30)

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Cites Work

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• Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
• Maximal function characterizations of Hardy spaces on RD-spaces and their applications
• Lipschitz functions on spaces of homogeneous type
• Two-level-split decomposition of anisotropic Besov spaces
• Anisotropic meshless frames on \(\mathbb R^{n}\)
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
• Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators
• Extensions of Hardy spaces and their use in analysis
• Anisotropic Hardy spaces and wavelets
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces