Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-08-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: ISTIC、SCIE

Volume: 30

Issue: 8

Page Number: 1395-1406

ISSN: 1439-8516

Key Words: Toeplitz operator; small Hankel operator; quasihomogeneous symbols; harmonic Bergman space; Mellin transform

Abstract: In this paper, we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C. We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator. Meanwhile, we characterize the commutativity of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.