Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings

By Vladimir G. Maz'ya. 2005

65 citations recorded by the source corpus.

In 1972 the author proved the so-called conductor and capacitary inequalities for the Dirichlet-type integrals of a function on a Euclidean domain. Both were used to derive necessary and sufficient ...

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/145f198da834742114d189dbdeb70435531b5908

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In Applied Mathematics

1. Joaquim Martín
2. Mario Milman
3. C. Tintarev

In Computational Theory and Mathematics

1. Joaquim Martín
2. Mario Milman
3. C. Tintarev

Citations in the corpus

• Sharp convex Lorentz–Sobolev inequalities (2011, unknown): “Maz′ya [56] deduced (2) from the Maz′ya Lp isocapacitary inequality (see [56]),”
• Pointwise symmetrization inequalities for Sobolev functions and applications (2009, background): “We must also refer to [93,94] for background and notation.”