Continuity and invertibility of distributional multidimensional fractional integrals

Adam C. McBride; Boris Rubin

doi:10.1080/10652469708819128

Continuity and invertibility of distributional multidimensional fractional integrals

Adam C. McBride^*
, Boris Rubin

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper continues the investigation started in [4]. Multidimensional fractional integrals and Riesz potentials are shown to have excellent mapping properties relative to the spaces of test functions and generalised functions introduced in [4].

Original language	English
Pages (from-to)	103-116
Number of pages	14
Journal	Integral Transforms and Special Functions
Volume	5
Issue number	1-2
DOIs	https://doi.org/10.1080/10652469708819128
State	Published - 1997

Keywords

Fractional integrals
Generalized functions
Test functions

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10.1080/10652469708819128

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abstract = "This paper continues the investigation started in [4]. Multidimensional fractional integrals and Riesz potentials are shown to have excellent mapping properties relative to the spaces of test functions and generalised functions introduced in [4].",

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KW - Fractional integrals

KW - Generalized functions

KW - Test functions

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IS - 1-2

ER -

Continuity and invertibility of distributional multidimensional fractional integrals

Abstract

Keywords

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