Vector calculus on weighted reflexive Banach spaces
Pasqualetto, E., & Rajala, T. (2024). Vector calculus on weighted reflexive Banach spaces. Mathematische Zeitschrift, 308, Article 48. https://doi.org/10.1007/s00209-024-03605-6
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Mathematische ZeitschriftDate
2024Copyright
© The Author(s) 2024
We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles.
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Springer NatureISSN Search the Publication Forum
0025-5874Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/243540533
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The first named author has been supported by the MIUR-PRIN 202244A7YL project “Gradient Flows and Non-Smooth Geometric Structures with Applications to Optimization and Machine Learning”. Open Access funding provided by University of Jyväskylä (JYU).License
Except where otherwise noted, this item's license is described as CC BY 4.0