Hits:

Indexed by:期刊论文

Date of Publication:2010-09-01

Journal:MATHEMATISCHE NACHRICHTEN

Included Journals:SCIE、Scopus

Volume:283

Issue:9

Page Number:1304-1313

ISSN No.: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