Poincaré inequalities for powers and products of admissible weights.
Björn, Jana (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “Harnack inequality for nonlinear weighted equations.”
Poincaré inequalities for powers and products of admissible weights.
Smooth approximation in weighted Sobolev spaces
Tero Kilpeläinen (1997)
Commentationes Mathematicae Universitatis Carolinae
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We give necessary and sufficient conditions for the equality in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev spaces.
Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures
Osvaldo Gorosito, Gladis Pradolini, Oscar Salinas (2010)
Czechoslovak Mathematical Journal
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In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.
A two weight weak inequality for potential type operators
Vachtang Michailovič Kokilashvili, Jiří Rákosník (1991)
Commentationes Mathematicae Universitatis Carolinae
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We give conditions on pairs of weights which are necessary and sufficient for the operator to be a weak type mapping of one weighted Lorentz space in another one. The kernel is an anisotropic radial decreasing function.
Potential theory of quasiminimizers.
Kinnunen, Juha, Martio, Olli (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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