- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 H-Toeplitz operators on the Bergman space Bull. Korean Math. Soc. 2021 Vol. 58, No. 2, 327-347 https://doi.org/10.4134/BKMS.b200260Published online November 5, 2020Printed March 31, 2021 Anuradha Gupta, Shivam Kumar Singh University of Delhi; University of Delhi Abstract : As an extension to the study of Toeplitz operators on the Bergman space, the notion of H-Toeplitz operators $B_\phi$ is introduced and studied. Necessary and sufficient conditions under which H-Toeplitz operators become co-isometry and partial isometry are obtained. Some of the invariant subspaces and kernels of H-Toeplitz operators are studied. We have obtained the conditions for the compactness and Fredholmness for H-Toeplitz operators. In particular, it has been shown that a non-zero H-Toeplitz operator can not be a Fredholm operator on the Bergman space. Moreover, we have also discussed the necessary and sufficient conditions for commutativity of H-Toeplitz operators. Keywords : Toeplitz operator, Hankel operator, H-Toeplitz operator, Bergman space, Berezin transform MSC numbers : Primary 47B35; Secondary 46E20 Downloads: Full-text PDF   Full-text HTML