On Nonlinear Hankel Potentials

The purpose of this paper is to continue the work realized by R.S. Pathak and P.K. Pandey in [11]. Some aspects in nonlinear potential theory are treated using the Hankel transform. We prove an analogue of Calderón′s theorem for Hankel transform and we give some applicatoins. We define the non-linea...

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Bibliographic Details
Published inIntegral transforms and special functions Vol. 10; no. 2; pp. 83 - 92
Main Author Cruz-Báez, D.I.
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.10.2000
Subjects
Hankel potentials spaces
Hankel transformation
nonlinear potential
sobolev spaces
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Summary:The purpose of this paper is to continue the work realized by R.S. Pathak and P.K. Pandey in [11]. Some aspects in nonlinear potential theory are treated using the Hankel transform. We prove an analogue of Calderón′s theorem for Hankel transform and we give some applicatoins. We define the non-linear potentials of Hankel associated with a measure v and the -capacity. Finally, we establish a classical problem of existence of an extremal function for the -capacity.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652460008819276