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On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space
Author(s) -
Rafeiro Humberto,
Samko Stefan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6187
Subject(s) - mathematics , riesz potential , variable (mathematics) , m. riesz extension theorem , bounded function , mathematical analysis , space (punctuation) , exponent , euclidean space , operator (biology) , order (exchange) , riesz transform , riesz representation theorem , pure mathematics , finance , repressor , transcription factor , economics , philosophy , linguistics , biochemistry , chemistry , gene
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.