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

Castillo, Rene ErlinRamos-Fernandez, Julio C.Rojas, Edixon M.2022-04-082022-04-082017-03-30Castillo, 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. 1-17.1072-6691https://hdl.handle.net/10877/15624In 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.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalKato classBessel potentialRiesz potentialLorentz spaceWeak Harnack inequalityProperties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equationsArticle