Work

Regularity results in grand variable exponent Morrey spaces and applications

Year: 2025

Type: article

Abstract: 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.

Source: Electronic Research Archive

DOI: 10.3934/era.2025123

Authors: Dali Makharadze, Alexander Meskhi, Maria Alessandra Ragusa

Institutions: Batumi Shota Rustaveli State University, Tbilisi State University, Kutaisi International University, Industrial University of Ho Chi Minh City, University of Catania

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,000

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni