Article ID Journal Published Year Pages File Type
6418138 Journal of Mathematical Analysis and Applications 2015 21 Pages PDF
Abstract

In [3] the boundedness properties of Riesz potentials, Bessel potentials and fractional derivatives were studied in detail on Gaussian Besov-Lipschitz spaces Bp,qα(γd). In this paper we will continue our study proving the boundedness of those operators on Gaussian Triebel-Lizorkin spaces Fp,qα(γd). Also, these results can be extended to the case of Laguerre or Jacobi expansions and even further to the general framework of diffusions semigroups.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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