Displaying similar documents to “Generalized dimension compression under mappings of exponentially integrable distortion”

Distortion function and quasisymmetric mappings

J. Zając (1991)

Annales Polonici Mathematici

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We study the relationship between the distortion function Φ K and normalized quasisymmetric mappings. This is part of a new method for solving the boundary values problem for an arbitrary K-quasiconformal automorphism of a generalized disc on the extended complex plane.

On generalized Moser-Trudinger inequalities without boundary condition

Robert Černý (2012)

Czechoslovak Mathematical Journal

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We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.

Alexander’s projective capacity for polydisks and ellipsoids in ℂ N

Mieczysław Jędrzejowski (1995)

Annales Polonici Mathematici

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Alexander’s projective capacity for the polydisk and the ellipsoid in ℂ N is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in ℂ N are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in ℂ N is proved to have an asymptotic behaviour in ℂ N similar to that of the Siciak homogeneous extremal function associated with K.

On conformal dilatation in space.

Bishop, Christopher J., Gutlyanskiĭ, Vladimir Ya., Martio, Olli, Vuorinen, Matti (2003)

International Journal of Mathematics and Mathematical Sciences

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