Möbius invariant besov p-spaces and hankel operators in the bergman space on the ball in C n

DOI10.1080/17476939108814499zbMath0706.47017OpenAlexW2274346898MaRDI QIDQ4012807

Kyong T. Hahn, El Hassan Youssfi

Publication date: 27 September 1992

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939108814499

zbMATH Keywords

Bergman spaceBloch spaceMöbius invariant Besov p-spacethe Schatten ideal contains nonzero Hankel operators with antiholomorphic symbol

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (11)

Some new characterizations of Dirichlet type spaces on the unit ball of \(\mathbb C^{n}\) ⋮ Bloch space in the unit ball of $\mathbb {C}^{n}$ ⋮ Besov Spaces of M‐harmonic Functions on Bounded Symmetric Domains ⋮ Properties of Toeplitz operators on some holomorphic Banach function spaces ⋮ Spectral properties of the \(\bar\partial\)-canonical solution operator. ⋮ \(\mathcal M\)-harmonic Besov \(p\)-spaces and Hankel operators in the Bergman space on the ball in \(\mathbb{C}^ n\) ⋮ Some characterizations of the Besov space and the \(\alpha \)-Bloch space ⋮ On M-harmonic Bloch functions and their Carleson measures ⋮ A new characterization of Dirichlet type spaces on the unit ball of \(\mathbb{C}^n\) ⋮ Besov spaces and Bergman projections on the ball ⋮ Weighted Hölder continuity of hyperbolic harmonic Bloch functions.

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