Compactness Criteria for Integral Operators in L ∞ and L 1 Spaces
From MaRDI portal
Publication:4874267
DOI10.2307/2161898zbMath0841.47028OpenAlexW4232717237MaRDI QIDQ4874267
Publication date: 18 July 1996
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2161898
kernelcompactness criteriabounded integral operatorRiesz's characterization of compact sets in \(L^ 1(\mathbb{R}^ n)\)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Compactness in topological linear spaces; angelic spaces, etc. (46A50)
Related Items
The stability of the b-family of peakon equations ⋮ A generalization of the Aleksandrov operator and adjoints of weighted composition operators ⋮ Oseen–Frank-type theories of ordered media as the Γ-limit of a non-local mean-field free energy ⋮ Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems ⋮ Some results for the Szegő and Bergman projections on planar domains ⋮ Weighted \(L^p\) estimates for the Bergman and Szegő projections on strongly pseudoconvex domains with near minimal smoothness ⋮ Gaussian heat kernel estimates: from functions to forms ⋮ Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system ⋮ Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit ⋮ Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation ⋮ On fluid limit for the semiconductors Boltzmann equation ⋮ Stochastic neural field equations: a rigorous footing