A semi-group formula for the Riesz potentials

Takahide KUROKAWA

doi:10.14492/hokmj/1470052351

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Home > Journals > Hokkaido Math. J. > Volume 44 > Issue 1 > Article

February 2015 A semi-group formula for the Riesz potentials

Takahide KUROKAWA

Hokkaido Math. J. 44(1): 1-27 (February 2015). DOI: 10.14492/hokmj/1470052351

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Abstract

The purpose of this article is to establish a semi-group formula for the Riesz potentials of L^p-functions. As preparations, we study the Lizorkin space Φ(Rⁿ) and investigate integral estimates of the Riesz potentials of functions in the spaces L^p:r,s(Rⁿ).

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Takahide KUROKAWA. "A semi-group formula for the Riesz potentials." Hokkaido Math. J. 44 (1) 1 - 27, February 2015. https://doi.org/10.14492/hokmj/1470052351