Stability of Localized Integral Operators on WeightedLpSpaces

DOI10.1080/01630563.2012.684535zbMath1258.47063arXiv1107.1818OpenAlexW2963667095MaRDI QIDQ2919997

Kyung Soo Rim, Chang Eon Shin, Qiyu Sun

Publication date: 23 October 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1818

zbMATH Keywords

integral operatorreverse Hölder inequalitydoubling measureinfinite matrixMuckenhoupt weightBessel potentialweighted function spacebootstrap techniquespectrum Wiener's lemma

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Nontrigonometric harmonic analysis (42C99)

Related Items

Wiener's lemma for singular integral operators of Bessel potential type ⋮ Stability for localized integral operators on weighted spaces of homogeneous type ⋮ Norm-controlled inversion in Banach algebras of integral operators ⋮ Stability of integral operators on a space of homogeneous type ⋮ Spectra of Generalized Bochner–Riesz Means on Weighted Spaces ⋮ Stability of Localized Integral Operators on Normal Spaces of Homogeneous Type ⋮ Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering ⋮ Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs ⋮ Wiener's lemma: localization and various approaches ⋮ Norm-controlled inversion of Banach algebras of infinite matrices ⋮ On Hulanicki and Barnes lemmas for \(p\)-Banach algebras

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