Non-Linear Potential Theory in Lebesgue Spaces with Mixed Norm

Tord Sjödin
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Tord Sjödin: University of Umeå, Department of Mathematics

A chapter in Potential Theory, 1988, pp 325-331 from Springer

Abstract: Abstract The classical potential theory for the Riesz kernel in ℝd has been generalized in many different ways. In this paper we are concerned with the Lp-potential theory which appeared around 1970. See N.G. Meyers [Me] and V.G. Maz’ya and V.P. Havin [MH] for an introduction to this theory. Applications and further developments of the theory are found in the books V.G. Maz’ya [Ma], V.G. Maz’ya, T.O. Shaposhnikova [MS], the lecture notes D.R. Adams [A] and the survey article L.I. Hedberg [H]. See also [S1] and [S2].

Keywords: Maximum Principle; Lebesgue Space; Mixed Norm; BESSEL Potential; Riesz Kernel (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0981-9_40

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DOI: 10.1007/978-1-4613-0981-9_40

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