Authors:
S. Samko Rostov State University Department of Mathematics and Mechanics Zorge 5 344104 Rostov-Na-Donu Russia

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С. Самко Rostov State University Department of Mathematics and Mechanics Zorge 5 344104 Rostov-Na-Donu Russia

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Abstract  

The rangeIα(Lp) of the Riesz potential operator, defined in the sense of distributions in the casepn/α, is shown to consist of regular distributions. Moreover, it is shown thatIα(Lp) ⊂Lploc (Rn) for all 1≤p<∞ and 0<α<∞. The distribution space used is that of Lizorkin, which is invariant with respect to the Riesz operator.

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Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)