Displaying similar documents to “Compact and continuous embeddings of logarithmic Bessel potential spaces”

The Umbral operator and the integration involving generalized Bessel-type functions

Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Praveen Agarwal, Mujahed Al-Dhaifallah (2015)

Open Mathematics

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The main purpose of this paper is to introduce a class of new integrals involving generalized Bessel functions and generalized Struve functions by using operational method and umbral formalization of Ramanujan master theorem. Their connections with trigonometric functions with several distinct complex arguments are also presented.

On the Choquet integrals associated to Bessel capacities

Keng Hao Ooi (2022)

Czechoslovak Mathematical Journal

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We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations.

Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings

Julio Severino Neves

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We consider Lorentz-Karamata spaces and establish embedding theorems (some local and some global) for Bessel-potential spaces modelled upon appropriate Lorentz-Karamata spaces into Lorentz-Karamata spaces and Orlicz spaces. In particular, we obtain refinements of the Sobolev embedding theorems: Strichartz-Trudinger's limiting case and Hansson-Brézis-Wainger's limiting case. These results extend and improve those of Edmunds, Gurka and Opic. Estimates for an appropriate norm of the convolution...