Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-09-01

Journal: MATHEMATISCHE NACHRICHTEN

Included Journals: Scopus、SCIE

Volume: 283

Issue: 9

Page Number: 1304-1313

ISSN: 0025-584X

Key Words: Toeplitz operator; k(th)-order slant Toeplitz operator; commutativity; Bergman space

Abstract: In this paper, commutativity of k(th)-order slant Toeplitz operators are discussed. We show that commutativity and essential commutativity of two slant Toeplitz operators are the same. Also, we study k(th)-order slant Toeplitz operators on the Bergman space L-a(2)(D) and give some commuting properties, algebraic and spectral properties of k(th)-order slant Toeplitz operators on the Bergman space. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim