Continuous inclusions and Bergman type operators in \(n\)-harmonic mixed norm spaces on the polydisc

DOI10.1016/j.jmaa.2003.11.039zbMath1054.32019OpenAlexW1966050119MaRDI QIDQ1433374

K. L. Avetisian

Publication date: 15 June 2004

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.2003.11.039

zbMATH Keywords

Besov space\(n\)-harmonic functionsanisotropic mixed norm spaces

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items

Continuous embeddings in harmonic mixed norm spaces on the unit ball in \(\mathbb{R}^n\) ⋮ Weighted iterated radial composition operators between some spaces of holomorphic functions on the unit ball ⋮ Estimates for harmonic reproducing kernel and Bergman type operators on mixed norm and Besov spaces in the real ball ⋮ Weighted integrals and Bloch spaces of \(n\)-harmonic functions on the polydisc ⋮ Lacunary series and sharp estimates in weighted spaces of holomorphic functions ⋮ Bergman type operators on mixed norm spaces over the ball in \(\mathbb{C}^n\) ⋮ On a new integral-type operator from the weighted Bergman space to the Bloch-type space on the unit ball ⋮ Sharp inclusions and lacunary series in mixed-norm spaces on the polydisc ⋮ Poisson-Bergman type operators on Lipschitz and mixed norm spaces in the real ball ⋮ HARDY–BLOCH TYPE SPACES AND LACUNARY SERIES ON THE POLYDISK ⋮ Unnamed Item ⋮ Weighted composition operators from weighted Bergman spaces to weighted-type spaces on the unit ball ⋮ The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc ⋮ Norms of some operators on the Bergman and the Hardy space in the unit polydisk and the unit ball ⋮ Weighted integral representations of harmonic functions in the unit disc by means of Mittag-Leffler type kernels ⋮ On the fractional integro-differentiation operator in \(\mathbb{R}^n\)

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