Carleson's imbedding theorem for a weighted Bergman space

DOI10.1007/BF01170888zbMath0746.46023MaRDI QIDQ1813396

V. L. Olejnik, Galina Perelman

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

subharmonic functionweighted Bergman spaceCarleson's imbedding theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Asymptotic behavior of eigenvalues of Toeplitz operators on the weighted analytic spaces ⋮ Toeplitz and Hankel Operators on Bergman Spaces ⋮ Reverse Carleson measures on generalized Fock spaces ⋮ Schatten class Hankel operators on exponential Bergman spaces ⋮ Weighted composition operators between Bergman spaces with exponential weights ⋮ Toeplitz operators on Bergman spaces with exponential weights ⋮ Schatten class operators on exponential weighted Bergman spaces ⋮ Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights ⋮ Bergman spaces with exponential weights ⋮ Embedding theorems and integration operators on Bergman spaces with exponential weights ⋮ Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights ⋮ Littlewood-Paley estimates with applications to Toeplitz and integration operators on weighted Bergman spaces ⋮ Trace estimates of Toeplitz operators on Bergman spaces and applications to composition operators

Cites Work

• Interpolations by bounded analytic functions and the corona problem
• Lp Estimates for (Pluri-) Subharmonic Functions.