RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 389, Pages 257–282 (Mi znsl4129)

Boundedness of Toeplitz operators in weighted Sobolev spaces of functions holomorphic in the disk

F. A. Shamoyan

I. G. Petrovsky Bryansk State University, Bryansk, Russia

Abstract: A complete description is found for functions $h$ integrable on the unit circle and having the property that the Toeplitz operator whose symbol is $h$ is bounded in certain weighted Sobolev spaces of functions holomorphic in the disk.

Key words and phrases: unit disk, holomorphic function, Sobolev space, Toeplitz operator, Zygmund space.

UDC: 517.547+517.98

Received: 05.05.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 182:5, 727–742

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025