Mean oscillation, weighted Bergman spaces, and Besov spaces on the Heisenberg group and atomic decomposition

DOI10.1016/0022-247X(91)90243-SzbMath0733.32005MaRDI QIDQ810204

Mark Feldman

Publication date: 1991

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

zbMATH Keywords

Heisenberg groupatomic decompositionmoleculesmean oscillationweighted holomorphic Bergman spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (3)

Holomorphic function spaces on homogeneous Siegel domains ⋮ Paley-Wiener theorems on the Siegel upper half-space ⋮ Atomic decompositions of mixed norm Bergman spaces on tube type domains

Cites Work

• A discrete transform and decompositions of distribution spaces
• Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators
• Characterizations of spaces of holomorphic functions in the ball
• Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables
• Painless nonorthogonal expansions
• Mean Oscillation and Besov Spaces
• Extensions of Hardy spaces and their use in analysis
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• H² spaces of generalized half-planes
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