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On rearrangement-invariant hull of generalized Sobolev spaces Sobolev space W(dot)m E(Ω), where m∈N, Ω - a bounded open domain in Rn, E=E(Ω) - rearrangement
Estimates for continuity envelopes and approximation numbers of generalized bessel potentials over lorentz space of order k in the uniform norm. Specifically, the treatment covers spaces of Generalized Bessel potentials
Construction of optimal ideal spaces for cones of nonnegative functionsThe problem of constructing an optimal ideal space for a given cone is considered. To solve
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. They are constructed on the basis of a rearrangement invariant space by using convolutions with some general kernels
CRITERION FOR EMBEDDING OF GENERALIZED RIESZ POTENTIAL INTO A REARRANGEMENT INVARIANT SPACEThe space of generalized Riesz potentials is considered. We give the criterion for embedding
Guidelines on long-term sustainability of outer space activities: Future perspectives for the long-term sustainability of outer space activities by the General Assembly Resolution but could
Rearrangement invariant envelopes of generalized Besov, Sobolev, and Calderon spaces envelopes of the generalized Besov, Sobolev, and Calderon spaces. We describe the smallest rearrangement
The local growth envelope and optimal embeddings of generalized Sobolev spaces growth envelope of functions in generalized Sobolev spaces. For generalized Sobolev-Lorentz spaces, we
On Holder’s Inequality in Lebesgue Spaces with Variable Order of Summability for such spaces, which is more general and more precise than those known earlier.
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