Projections, the Weighted Bergman Spaces, and the Bloch Space

DOI10.2307/2047703zbMath0684.47022OpenAlexW3144768474MaRDI QIDQ4734352

Boo Rim Choe

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047703

zbMATH Keywords

projectionsBloch spaceweighted Bergman space

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic functions of several complex variables (32A10)

Related Items

Boundedness of the Bergman type operators on mixed norm spaces ⋮ The mixed norm spaces of polyharmonic functions ⋮ Fractional derivatives of Bloch functions, growth rate, and interpolation ⋮ Schur's test, Bergman-type operators and Gleason's problem on radial-angular mixed spaces ⋮ Bergman projections induced by doubling weights on the unit ball of \(\mathbb{C}^n\) ⋮ Continuous inclusions and Bergman type operators in \(n\)-harmonic mixed norm spaces on the polydisc ⋮ Norm of the Bergman projection onto the Bloch space with M-invariant gradient norm ⋮ Forelli-Rudin type theorem in pluriharmonic Bergman spaces with small index ⋮ Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball ⋮ On M-harmonic Bloch functions and their Carleson measures ⋮ On the Forelli-Rudin projection theorem ⋮ A class of integral operators on mixed norm spaces in the unit ball ⋮ A Luecking type subspace, dualities and Toeplitz operators ⋮ Gleason's problem for harmonic Bergman and Bloch functions on half-spaces ⋮ Derivatives of Hardy Functions ⋮ Cauchy and Bergman projection, sharp gradient estimates and certain operator norm equalities ⋮ Hankel operators from the space of bounded analytic functions to the Bloch space ⋮ Semi-norms of the Bergman projection

Cites Work

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• Factorization theorems for Hardy spaces in several variables
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• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Bloch functions in several complex variables. II.