By Ari Laptev
The primary contributions of Professor Maz'ya to the idea of functionality areas and particularly Sobolev areas are popular and infrequently play a key function within the learn of alternative features of the idea, that's tested, particularly, via awarded new effects and reports from world-recognized experts. Sobolev style areas, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimum Hardy-Sobolev-Maz'ya inequalities, Maz'ya's isocapacitary inequalities in a measure-metric area environment and plenty of different genuine issues are discussed.
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