Regularity results in grand variable exponent Morrey spaces and applications
The boundedness of commutators of Calderón–Zygmund operators in grand variable exponent Morrey spaces is established. The operators and spaces are defined on quasi-metric measure spaces with doubling measure. The obtained results are applied to study regularity properties of solutions of the second-order partial differential equations with discontinuous coefficients in the frame of grand variable exponent Morrey spaces.
Authors
- Alexander Meskhi (ORCID: https://orcid.org/0000-0001-7984-4019)
- Dali Makharadze
- Maria Alessandra Ragusa (ORCID: https://orcid.org/0000-0001-6611-6370)
Institutions
- Tbilisi State University (GE)
- Batumi Shota Rustaveli State University (GE)
- Industrial University of Ho Chi Minh City (VN)
- University of Catania (IT)
- Kutaisi International University (GE)
Publication Details
- Journal
- Electronic Research Archive
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/era.2025123
- Citations
- 6
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 22.36