Toeplitz operators on the Hardy space over the infinite-dimensional polydisc

DOI10.1007/s44146-022-00016-zOpenAlexW4297748713WikidataQ114215826 ScholiaQ114215826MaRDI QIDQ5046942

Fugang Yan, Kunyu Guo

Publication date: 9 November 2022

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44146-022-00016-z

zbMATH Keywords

Toeplitz operatorToeplitz algebraHardy space over the infinite-dimensional polydiscmultiplicative Toeplitz matrix

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hardy spaces (30H10)

Cites Work

• The multiplicative Hilbert matrix
• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Hardy spaces of Dirichlet series and their composition operators
• The essential norm of a composition operator
• Some algebraic properties of Toeplitz and Hankel operators on polydisk
• Best constants for the Riesz projection
• Toeplitz and asymptotic Toeplitz operators on \(H^2(\mathbb{D}^n)\)
• Approximation and symbolic calculus for Toeplitz algebras on the Bergman space
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• The distribution function inequality and products of Toeplitz operators and Hankel operators
• In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc
• Fatou and brothers Riesz theorems in the infinite-dimensional polydisc
• \(C^*\)-algebras of operators on a half-space. I
• Singular values of multiplicative Toeplitz matrices
• Representing Measures and Hardy Spaces for the Infinite Polydisk Algebra
• Determinants of multiplicative Toeplitz matrices
• Hankel forms and sums of random variables
• Hankel forms
• The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk
• Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations
• Riesz projection and bounded mean oscillation for Dirichlet series
• Linear space properties of $H^p$ spaces of Dirichlet series
• C*-algebras generated by groups of composition operators
• Zur Theorie der Dirichletschen Reihen
• Four Faces of Number Theory
• Products of Toeplitz operators
• \(C^*\)-algebras by example
• Probability theory. A comprehensive course
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Toeplitz operators on the Hardy space over the infinite-dimensional polydisc