Local grand Lebesgue spaces on quasi-metric measure spaces and some applications

We introduce local grand Lebesgue spaces, over a quasi-metric measure space (X, d, mu), where the Lebesgue space is "aggrandized" not everywhere but only at a given closed set F of measure zero. We show that such spaces coincide for different choices of aggrandizers if their Matuszewska-Or...

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Bibliographic Details
Main Author: Rafeiro, Humberto (author)
Other Authors: Samko, Stefan (author), Umarkhadzhiev, Salaudin (author)
Format: article
Language:eng
Published: 2022
Subjects:
Grand Lebesgue spaces
Maximal function
Singular integrals
Riesz potential
Online Access:http://hdl.handle.net/10400.1/18479
Country:Portugal
Oai:oai:sapientia.ualg.pt:10400.1/18479

Internet

http://hdl.handle.net/10400.1/18479

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