A trace inequality for generalized potentials
David Adams (1973)
Studia Mathematica
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David Adams (1973)
Studia Mathematica
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Jaak Peetre (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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David R. Adams (1998)
Publicacions Matemàtiques
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This is a survey of various applications of the notion of the Choquet integral to questions in Potential Theory, i.e. the integral of a function with respect to a non-additive set function on subsets of Euclidean n-space, capacity. The Choquet integral is, in a sense, a nonlinear extension of the standard Lebesgue integral with respect to the linear set function, measure. Applications include an integration principle for potentials, inequalities for maximal functions, stability for solutions...
Kokilashvili, V., Meskhi, A. (2000)
Bulletin of TICMI
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Raymondus G. M. Brummelhuis (1989)
Revista Matemática Iberoamericana
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Consider, by way of example, the following F. and M. Riesz theorem for R: Let μ be a finite measure on R whose Fourier transform μ* is supported in a closed convex cone which is proper, that is, which contains no entire line. Then μ is absolutely continuous (cf. Stein and Weiss [SW]). Here, as in the sequel, absolutely continuous means with respect to Lebesque measure. In this theorem one can replace the condition on the support of μ* by a similar condition on the wave front set WF(μ)...
Guliyev, Emin (2009)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...
Michael Christ (1987)
Revista Matemática Iberoamericana
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Takesi Watanabé (1971)
Séminaire de probabilités de Strasbourg
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