Record link: 
http://hdl.handle.net/20.500.12708/137153
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Title: 
On grand Sobolev spaces and pointwise description of Banach function spaces
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Citation: 
Jain, P., Molchanova, A., Singh, M., & Vodopyanov, S. (2021). On grand Sobolev spaces and pointwise description of Banach function spaces. Nonlinear Analysis: Theory, Methods and Applications, 202(112100), 112100. https://doi.org/10.1016/j.na.2020.112100
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Publisher DOI: 
10.1016/j.na.2020.112100
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Jain, Pankaj 
Molchanova, Anastasia 
Singh, Monika 
Vodopyanov, Sergey 
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Organisational Unit: 
E101-01 - Forschungsbereich Analysis 
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Journal: 
Nonlinear Analysis: Theory, Methods and Applications 
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ISSN: 
0362-546X
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Date (published): 
2021
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Number of Pages: 
17
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Peer reviewed: 
Yes
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Keywords: 
Applied Mathematics; Analysis; Banach function space; Grand Sobolev space; Maximal function; Pointwise description
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Abstract: 
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy-Littlewood maximal operator is bounded. We also study weighted grand Sobolev spaces, defined on arbitrary open sets (of finite or infinite measure), and provide pointwise description of them.
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Research Areas: 
Mathematical and Algorithmic Foundations: 100%
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Science Branch: 
Mathematik
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