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
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
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