On functions arising as potentials on spaces of homogeneous type
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- by A. Eduardo Gatto and Stephen Vági PDF
- Proc. Amer. Math. Soc. 125 (1997), 1149-1152 Request permission
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.References
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Additional Information
- A. Eduardo Gatto
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614-3504
- Email: aegatto@condor.depaul.edu
- Received by editor(s): October 25, 1995
- Received by editor(s) in revised form: January 25, 1996
- Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1149-1152
- MSC (1991): Primary 42C99, 26A33, 44A99; Secondary 31C15
- DOI: https://doi.org/10.1090/S0002-9939-97-03764-7
- MathSciNet review: 1372029