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Grand Sobolev spaces on metric measure spaces

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Publication:2088635
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DOI10.1134/S0037446622050147zbMath1506.46035OpenAlexW4300818124MaRDI QIDQ2088635

S. V. Pavlov

Publication date: 6 October 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446622050147


zbMATH Keywords

grand Lebesgue spacesgrand Sobolev spacesregular metric measure spaces


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) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)


Related Items (2)

Sobolev and Besov classes on infinite-dimensional spaces ⋮ Pointwise conditions for membership of functions in weighted Sobolev classes



Cites Work

  • On the integrability of the Jacobian under minimal hypotheses
  • Monotone functions and quasiconformal mappings on Carnot groups
  • Sobolev spaces on an arbitrary metric space
  • On grand Sobolev spaces and pointwise description of Banach function spaces
  • Sobolev met Poincaré
  • Unnamed Item
  • Unnamed Item


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