Hankel and Toeplitz operators in Hardy spaces

DOI10.1007/BF01327046zbMath0616.47022MaRDI QIDQ1821335

V. A. Tolokonnikov

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

spaces of analytic functionsToeplitz and Hankel operatorssymbols of Toeplitz operators are bounded

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (8)

Toeplitz Operators Between Distinct Abstract Hardy Spaces ⋮ Hankel operators on holomorphic Hardy-Orlicz spaces ⋮ The Brown-Halmos theorem for a pair of abstract Hardy spaces ⋮ Compact Hankel operators between distinct Hardy spaces and commutators ⋮ The Coburn-Simonenko theorem for Toeplitz operators acting between Hardy type subspaces of different Banach function spaces ⋮ Boundedness of Hankel operators on \(\mathcal H^1(\mathbb B^n)\) ⋮ Toeplitz and Hankel operators between distinct Hardy spaces ⋮ Bounded and compact Toeplitz+Hankel matrices

Cites Work

• On the action of Hankel and Toeplitz operators on some function spaces
• Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation
• Inner functions and multipliers of Cauchy type integrals
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