Pointwise multipliers from Dirichlet type spaces \(D_\tau \) to \(Q_p\) spaces in the unit ball of \(\mathbb C^n\)

DOI10.1016/j.jmaa.2007.06.027zbMath1145.46015OpenAlexW2077693770MaRDI QIDQ2473991

Caiheng Ouyang, Ru Peng

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.06.027

zbMATH Keywords

\(Q_p\) spacesDirichlet type spacespointwise multiplierssharp embeddings

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (3)

Pointwise multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Riemann-Stieltjes operators and multipliers on \(Q_p\) spaces in the unit ball of \(C^n\) ⋮ Multipliers in holomorphic mean Lipschitz spaces on the unit ball

Cites Work

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• On Dirichlet type spaces and \(\alpha\)-Bloch spaces in the unit ball of \(\mathbb C^n\)
• Higher radial derivative of functions of \(Q_{p}\) spaces and its applications
• Multipliers of BMO in the Bergman metric with applications to Toeplitz operators
• Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls
• Multipliers of the Dirichlet space
• Möbius invariant \(Q_p\) spaces associated with the Green's function on the unit ball of \(C^n\)
• The pointwise multipliers of Bloch type space \(\beta^{p}\) and Dirichlet type space \(D_{q}\) on the unit ball of \(\mathbb{C}^{n}\).
• The \(Q_ p\) corona theorem.
• Higher radial derivative of Bloch type functions
• Carleson Measures and Multipliers of Dirichlet-Type Spaces
• Spaces of Holomorphic Functions in the Unit Ball
• Characterizations of Bergman Spaces and Bloch Space in the Unit Ball of C n
• Carleson Measures on Spaces of Hardy-Sobolev Type
• Carleson measures and interpolating sequences for Besov spaces on complex balls
• Multipliers on D α
• Multipliers on Dirichlet type spaces
• Holomorphic \(Q\) classes

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