Anisotropic local Hardy spaces

DOI10.1007/s00041-010-9121-xzbMath1214.42037OpenAlexW2050900935MaRDI QIDQ1958526

Wendolín Damián, Jorge J. Betancor

Publication date: 4 October 2010

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

Full work available at URL: https://doi.org/10.1007/s00041-010-9121-x

zbMATH Keywords

atomic decompositionlocal Hardy spacesanisotropic Hardy spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

Finite atomic decomposition characterization of variable anisotropic Hardy spaces, Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates, Molecules associated to Hardy spaces with pointwise variable anisotropy, Variable anisotropic singular integral operators, Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type

Cites Work

• Unnamed Item
• Unnamed Item
• Parabolic maximal functions associated with a distribution
• Parabolic maximal functions associated with a distribution. II
• An atomic decomposition of distributions in parabolic \(H^p\) spaces
• A local version of real Hardy spaces
• Anisotropic Triebel-Lizorkin spaces with doubling measures
• \(H^p\) spaces of several variables
• The characterization of weighted local hardy spaces on domains and its application
• Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators
• Weighted HARDY Spaces
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• Anisotropic Hardy spaces and wavelets
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• A real variable characterization of $H^{p}$
• The Dual of H^p(R₊ⁿ⁺¹) for p < 1
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces