Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces

DOI10.3906/mat-1706-93zbMath1424.47068OpenAlexW2802799480MaRDI QIDQ4634264

Mehmet Gürdal, Mubariz T. Garayev

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/45646/574925

zbMATH Keywords

Hardy spaceBergman spaceToeplitz operatorBerezin symbolzero Toeplitz product

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

On some problems for reproducing kernel Hilbert space operators via the Berezin transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two questions on products of Toeplitz operators on the Bergman space
• New function theoretic proofs of Brown--Halmos theorems
• On the Riccati equations
• An invariant volume-mean-value property
• Functions invariant under the Berezin transform
• Berezin versus Mellin.
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• Finite-rank products of Toeplitz operators in several complex variables
• Zero products of Toeplitz operators
• Compact operators via the Berezin transform
• Finite rank Toeplitz operators on the Bergman space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators