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

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dc.contributor.authorCastillo, Rene Erlin
dc.contributor.authorRamos-Fernandez, Julio C.
dc.contributor.authorRojas, Edixon M.
dc.date.accessioned2022-04-08T18:18:25Z
dc.date.available2022-04-08T18:18:25Z
dc.date.issued2017-03-30
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCastillo, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15624
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectKato class
dc.subjectBessel potential
dc.subjectRiesz potential
dc.subjectLorentz space
dc.subjectWeak Harnack inequality
dc.titleProperties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equations
dc.typeArticle

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