Characterizing compact sets in \(\mathrm{L}^\mathrm{p}\)-spaces and its application
DOI10.1016/j.topol.2023.108629zbMath1526.54005arXiv2205.06864OpenAlexW4382542783WikidataQ121596677 ScholiaQ121596677MaRDI QIDQ6113242
Publication date: 8 August 2023
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06864
Hilbert spaceHilbert cubeLipschitz mapmetric measure spacerelatively compactaverage functionKolmogorov-Riesz theorem\(\mathrm{L}^{\mathrm{p}}\)-space
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces in general topology (54C35) Compactness in Banach (or normed) spaces (46B50) Topology of infinite-dimensional manifolds (57N20)
Cites Work
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- The Kolmogorov-Riesz compactness theorem
- Harmonic functions on metric measure spaces: Convergence and compactness
- From Arzelà-Ascoli to Riesz-Kolmogorov
- Functional analysis, Sobolev spaces and partial differential equations
- Lectures on analysis on metric spaces
- The space consisting of uniformly continuous functions on a metric measure space with the \(L^p\) norm
- Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and ∑
- Les fonctions continues et les fonctions intégrables au sens de Riemann comme sous-espaces de $ℒ^1$
- On CE-images of the Hubert cube and characterization of Q-manifolds
- Extension of range of functions
- Geometric Aspects of General Topology
- Metric in Measure Spaces
- Measure Theory
- Hilbert space is homeomorphic to the countable infinite product of lines
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