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Optimal embedding of Bessel- and Riesz-type potentials and optimal RISes were described for such embeddings for the potentials. The results were based on the general

Optimal embeddings of generalized Bessel and Riesz potentials in an RIS. Optimal RISs for such embeddings are also described. © 2010 Pleiades Publishing, Ltd.

Optimal banach function space for a given cone of decreasing functions in a weighted Lp - spaceThe problem is considered of constructing optimal (i.e. minimal) generalized Banach function space

OPTIMAL BANACH FUNCTION SPACE FOR A GIVEN CONE OF DECREASING FUNCTIONS IN A WEIGHTED L-p - SPACEThe problem is considered of constructing optimal (i.e. minimal) generalized Banach function space

Optimal Embeddings for Bessel and Riesz Potentials. Part 1We establish effective criteria of optimal embeddings for Bessel and Riesz potentials

The local growth envelope and optimal embeddings of generalized Sobolev spaces into which they are embedded."

Some constructive criteria of optimal embeddings for potentials explicitly optimal RISs for such embeddings. © 2011 Taylor & Francis.

Optimal embedding and sharp estimates of the continuity envelope for generalized Bessel potentials Bessel potentials. Such estimates admit sharp embedding theorems into a Calderon space and imply

Rearrangement invariant envelopes of generalized Bessel and Riesz potentials characterizations of cones of decreasing rearrangements is established, sharp theorems on embeddings in RISes

Optimal Embeddings of Riesz Type Potentials consideration of the question of finding conditions for embeddings of Riesz type potentials in RIS we used

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