Abstract
Classical parabolic Riesz and parabolic Bessel type potentials are interpreted as negative fractional powers of the differential operators and . Here, is the Laplacian and is the identity operator. We introduce some generalizations of these potentials, namely, we define the family of operators for and , and investigate its behavior in the framework of -spaces.
Citation
Ilham A. Aliev. Çağla Sekin. "A generalization of parabolic Riesz and parabolic Bessel potentials." Rocky Mountain J. Math. 50 (3) 815 - 824, June 2020. https://doi.org/10.1216/rmj.2020.50.815
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