L P boundedness of area function associated with operators on product spaces

DOI10.1007/s10496-006-0208-9zbMath1131.42019OpenAlexW1998256400MaRDI QIDQ5437682

Liang Song, Chao-Qiang Tan

Publication date: 28 January 2008

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-006-0208-9

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items (1)

Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains

Cites Work

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• Calderón-Zygmund theory for operator-valued kernels
• Singular integral operators with non-smooth kernels on irregular domains
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Functional calculus for a class of complex elliptic operators in dimension one (and applications to some complex elliptic equations in dimension two).
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• The Calderon-Zygmund Decomposition on Product Domains
• H ^p theory for the poly-disc
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds

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