dc.contributor.author | Samko, Natasha Gabatsuyevna | |
dc.date.accessioned | 2024-09-26T09:56:08Z | |
dc.date.available | 2024-09-26T09:56:08Z | |
dc.date.issued | 2024-05-30 | |
dc.description.abstract | For a certain class of radial weights, we prove weighted norm estimates for commutators with BMO coefficients of singular operators in local generalized Morrey spaces.
As a consequence of these estimates, we obtain norm inequalities for such commutators in the generalized Stummel-Morrey spaces. We also discuss a.e. well-posedness of
singular operators and their commutators on weighted generalized Morrey spaces. The
obtained estimates are applied to prove interior regularity for solutions of elliptic PDEs
in the frameworks of the corresponding weighted Sobolev spaces based on the local
generalized Morrey spaces or Stummel-Morrey spaces. To this end also conditions
for the applicability of the representation formula, for the second-order derivatives
of solutions to elliptic PDEs, are found for the case of such weighted spaces. In both
results, for commutators and applications, we admit weights beyond the Muckenhoupt
range. | en_US |
dc.identifier.citation | Samko. Weighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applications. Analysis and Mathematical Physics. 2024;14(3) | |
dc.identifier.cristinID | FRIDAID 2276553 | |
dc.identifier.doi | 10.1007/s13324-024-00934-x | |
dc.identifier.issn | 1664-2368 | |
dc.identifier.issn | 1664-235X | |
dc.identifier.uri | https://hdl.handle.net/10037/34891 | |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature | en_US |
dc.relation.journal | Analysis and Mathematical Physics | |
dc.rights.holder | Copyright 2024 The Author(s) | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | en_US |
dc.rights | Attribution 4.0 International (CC BY 4.0) | en_US |
dc.title | Weighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applications | en_US |
dc.type.version | publishedVersion | en_US |
dc.type | Journal article | en_US |
dc.type | Tidsskriftartikkel | en_US |
dc.type | Peer reviewed | en_US |