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
Journal ISSN
Volume Title
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.
Description
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.
Rights
Attribution 4.0 International