Displaying similar documents to “Optimal Sobolev embeddings on Rn.”

Differentiation bases for Sobolev functions on metric spaces.

Petteri Harjulehto, Juha Kinnunen (2004)

Publicacions Matemàtiques

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We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.

Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces.

Amiran Gogatishvili, Júlio S. Neves, Bohumír Opic (2005)

Publicacions Matemàtiques

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We establish the sharpness of embedding theorems for Bessel-potential spaces modelled upon Lorentz-Karamata spaces and we prove the non-compactness of such embeddings. Target spaces in our embeddings are generalized Hölder spaces. As consequences of our results, we get continuous envelopes of Bessel-potential spaces modelled upon Lorentz-Karamata spaces.

Weighted Hardy's inequalities for negative indices.

Dmitryi V. Prokhorov (2004)

Publicacions Matemàtiques

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In the paper we obtain a precise characterization of Hardy type inequalities with weights for the negative indices and the indices between 0 and 1 and establish a duality between these cases.

q-plurisubharmonicity and q-pseudoconvexity in C.

Nguyen Quang Dieu (2006)

Publicacions Matemàtiques

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We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that B-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.