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On functions arising as potentials on spaces of homogeneous type

Author(s): A. Eduardo Gatto; Stephen Vági
Journal: Proc. Amer. Math. Soc. 125 (1997), 1149-1152.
MSC (1991): Primary 42C99, 26A33, 44A99; Secondary 31C15
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Abstract: On a space of homogeneous type we consider functions $F$ in $L^p$, $1<p<\infty $, which are potentials of order $\alpha $ of $L^p$ functions. We show that these functions belong to the class of smooth functions $C^{p,\alpha }$ of Calderón-Scott. This result has applications to tangential convergence.

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Additional Information:

A. Eduardo Gatto
Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614-3504
Email: aegatto@condor.depaul.edu

DOI: 10.1090/S0002-9939-97-03764-7
PII: S 0002-9939(97)03764-7
Received by editor(s): October 25, 1995
Received by editor(s) in revised form: January 25, 1996
Communicated by: J. Marshall Ash
Copyright of article: Copyright 1997, American Mathematical Society

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