Properties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equations

Date

2017-03-30

Authors

Castillo, Rene Erlin
Ramos-Fernandez, Julio C.
Rojas, Edixon M.

Journal Title

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Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study some basic properties of the scale of Kato classes related with the Bessel kernel, Lorentz spaces, and Morrey spaces. Also we characterize the weak Harnack inequality for non-negative solutions of elliptic equations in terms of the Bessel kernel and the Kato classes of order α.

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Keywords

Kato class, Bessel potential, Riesz potential, Lorentz space, Weak Harnack inequality

Citation

Castillo, R. E., Ramos-Fernández, J. C., & Rojas, E. M. (2017). Properties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equations. <i>Electronic Journal of Differential Equations, 2017</i>(92), pp. 1-17.

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Attribution 4.0 International

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