Rubio de Francia’s extrapolation in generalized grand Morrey spaces is derived. This result is applied to the investigation of the regularity of solutions for the second order partial differential equations with discontinuous coefficients in the framework of generalized grand Morrey spaces under the Muckenhoupt condition on weights. Density properties for these spaces are also investigated.

On some extrapolation in generalized grand Morrey spaces with applications to PDEs

Maria Alessandra Ragusa
2024-01-01

Abstract

Rubio de Francia’s extrapolation in generalized grand Morrey spaces is derived. This result is applied to the investigation of the regularity of solutions for the second order partial differential equations with discontinuous coefficients in the framework of generalized grand Morrey spaces under the Muckenhoupt condition on weights. Density properties for these spaces are also investigated.
2024
Grand Morrey spaces; weighted extrapolation; weighted estimates; regularity of partial differential equations
File in questo prodotto:
File Dimensione Formato  
FROM_THE_WEB_ELECTRONIC_RESEARCH_ARCHIVE_2024.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 528.27 kB
Formato Adobe PDF
528.27 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/557302
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact