Rene Erlin Castillo, Julio C. Ramos-Fernandez, Edixon M. Rojas
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
.
Submitted December 21, 2016. Published March 30, 2017.
Math Subject Classifications: 35B05, 35J10, 35J15.
Key Words: Kato class; Bessel potential; Riesz potential; Lorentz space;
weak Harnack inequality.
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René Erlín Castillo Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia email: recastillo@unal.edu.co | |
Julio C. Ramos-Fernández Departamento de Matemáticas Universidad de Oriente 6101 Cumaán Edo. Sucre, Venezuela email: jcramos@udo.edu.ve | |
Edixon M. Rojas Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia email: emrojass@unal.edu.co |
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