Around the Research of Vladimir Maz'ya I: Function Spaces: by Ari Laptev

By Ari Laptev

The primary contributions of Professor Maz'ya to the idea of functionality areas and particularly Sobolev areas are renowned and infrequently play a key function within the examine of other points of the speculation, that is validated, particularly, by way of provided new effects and stories from world-recognized experts. Sobolev sort areas, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimum Hardy-Sobolev-Maz'ya inequalities, Maz'ya's isocapacitary inequalities in a measure-metric area atmosphere and plenty of different real subject matters are discussed.

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