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Rearrangement invariant envelopes of generalized Bessel and Riesz potentialsThe spaces of generalized Bessel and Riesz potentials in the n-dimensional Euclidean space

Optimal embeddings of generalized Bessel and Riesz potentials. These spaces include the classical spaces of Bessel and Riesz potentials as particular cases. We examine

Criteria for embedding of generalized Bessel and Riesz potential spaces in rearrangement invariant spacesWe consider the spaces of generalized Bessel and Riesz potentials and establish criteria

On the cones of rearrangements for generalized bessel and Riesz potentials. Specifically, the treatment covers spaces of classical Bessel and Riesz potentials. We establish the equivalent

Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials to decreasing rearrangements of generalized Bessel and Riesz potentials are considered.

On the theory of spaces of generalized Bessel potentials and the study of the Laplace, wave, Helmholtz, and Poisson equations. The celebrated Riesz potentials

ESTIMATES FOR DECREASING REARRANGEMENTS OF CONVOLUTION AND COVERINGS OF CONES for equivalent descriptions of the cones of decreasing rearrangements for generalized Bessel and Riesz potentials

Differential Properties of Generalized Potentials of the Type Bessel and Riesz Type thatgeneralize the classical Bessel-Macdonald kernels... The theory ofclassical Bessel potentials is an important

Integral Properties of Generalized Potentials of the Type Besseland Riesz Type Bessel-Riesz potentials may have non-powersingularities in the neighborhood of the origin. Their behavior

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

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