Weighted Hardy operators in the local generalized variable exponent weighted Morrey spaces and applications to differential operators
Year: 2024
Type: article
Abstract: We consider local generalized weighted Morrey spaces M{x0}p(⋅),ω,φ(Rn) with variable exponent p(x), φ is a weight and a general function ω(r) defining the Morrey-type norm. Under the assumption φ is a variable exponent Muckenhoupt weight, we prove the M{x0}p(⋅),ω,φ(Rn) boundedness of the weighted Hardy operators and their commutators. Furthermore, we give the applications of our results to the differential equations.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,230
OpenAlex ID: W4404850829