Isometries, direct sum decompositions, analytic type function spaces, and radial operators

DOI10.1007/s40590-023-00558-4zbMath1530.30033MaRDI QIDQ6186414

Nikolai L. Vasilevski

Publication date: 9 January 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

radial Toeplitz operator\((m, n)\)-\textit{analytic} functions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Quasi-analytic and other classes of functions of one complex variable (30D60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences
• Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights
• Generalized Zernike or disc polynomials
• Radial Toeplitz operators on the unit ball and slowly oscillating sequences
• On \(C^\ast\)-algebras of Toeplitz operators on the harmonic Bergman space
• New characterizations for the weighted Fock spaces
• The polyanalytic reproducing kernels
• Radial operators on polyanalytic weighted Bergman spaces
• Poly-analytic functions and representation theory
• Sarason's Toeplitz product problem for a class of Fock spaces
• Hankel operators on weighted Fock spaces
• Harmonic analysis of operators on Hilbert space
• On the structure of polyharmonic Bergman-type spaces over the unit disk
• The Berezin transform and radial operators
• Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces
• Some characterizations for exponentially weighted Bergman spaces
• Bergman-Toeplitz operators: Radial component influence