A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS

DOI10.1070/SM1985v050n02ABEH002840zbMath0561.47022OpenAlexW2090364262MaRDI QIDQ5186202

Publication date: 1985

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/71535

zbMATH Keywords

Besov space Hankel operator rational approximation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Approximation by rational functions (41A20) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (13)

Conjugate functions on the closed interval and their relationship with uniform rational and piecewise polynomial approximations ⋮ Toeplitz-Hankel type operators on Dirichlet spaces ⋮ Toeplitz and Hankel type operators on Bergman space ⋮ Marcinkiewicz-Zygmund inequalities ⋮ Finite rank intermediate Hankel operators ⋮ Interpolation and integral norms of hyperbolic polynomials ⋮ Quantitative spectral perturbation theory for compact operators on a Hilbert space ⋮ The differentiation operator from model spaces to Bergman spaces and Peller type inequalities ⋮ Functions of operators under perturbations of class $S_p$ ⋮ $p$-summable commutators in Bergman spaces on egg domains ⋮ Continuity of the averaging projection onto the set of Hankel matrices ⋮ On the convergence rate of $s$-numbers of compact Hankel operators ⋮ Factorization of Hardy spaces and Hankel operators on convex domains in $\mathbb C^ n$.

This page was built for publication: A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS