Toeplitz operators in Sobolev spaces of analytic functions and applications

DOI10.17377/semi.2017.14.017zbMath1361.30100MaRDI QIDQ515218

F. A. Shamoyan, Vera Arkadievna Bednazh

Publication date: 13 March 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorSoblev spaces of analytic functions on the disk

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
• One class of Toeplitz operators connected with the divisibility of analytic functions
• Multipliers of BMO in the Bergman metric with applications to Toeplitz operators
• Rough isometries and the parabolicity of Riemannian manifolds
• On the action of Hankel and Toeplitz operators on some function spaces
• A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk
• A new proof of Gromov’s theorem on groups of polynomial growth

This page was built for publication: Toeplitz operators in Sobolev spaces of analytic functions and applications