학술논문

Generalized fractional integral operators on variable exponent Morrey spaces of an integral form
Document Type
Original Paper
Source
Acta Mathematica Hungarica. 167(1):201-214
Subject
Riesz potential
maximal function
Sobolev's inequality
Morrey space
variable exponent
primary 46E30
secondary 42B25
Language
English
ISSN
0236-5294
1588-2632
Abstract
We establish the boundedness of generalized fractional integral operators IρLp(·),ω(G)ρ(x,r)ω(x,r) on variable exponent Morrey spaces of an integral form IρLp(·),ω(G)ρ(x,r)ω(x,r), where IρLp(·),ω(G)ρ(x,r)ω(x,r) and IρLp(·),ω(G)ρ(x,r)ω(x,r)are general functions satisfying certain conditions.