Local hardy and BMO spaces on non-homogeneous spaces

DOI10.1017/S1446788700010430zbMath1098.42020MaRDI QIDQ3372688

Da Chun Yang

Publication date: 10 March 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

interpolationJohn-Nirenberg inequalitylocal Hardy spacenon-doubling measureatomic blocklocal BMO space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (4)

Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Product of functions in BMO and \(\mathcal{H}^1\) in non-homogeneous spaces ⋮ 𝐁𝐌𝐎 on shapes and sharp constants ⋮ \(h^1\), bmo, blo and Littlewood-Paley \(g\)-functions with non-doubling measures

Cites Work

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• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• A local version of real Hardy spaces
• On the \(T(1)\)-theorem for the Cauchy integral
• BMO for nondoubling measures
• The \(Tb\)-theorem on non-homogeneous spaces.
• \(L^2\)-boundedness of the Cauchy integral operator for continuous measures
• 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.)
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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