On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space

Rafeiro, Humberto; Samko, Stefan

http://hdl.handle.net/10400.1/16564

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Authors

Rafeiro, Humberto

Samko, Stefan

Abstract(s)

For the Riesz potential of variable order over bounded domains in Euclidean space, we prove the boundedness result from variable exponent Morrey spaces to variable exponent Campanato spaces. A special attention is paid to weaken assumptions on variability of the Riesz potential.