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This article is cited in 1 scientific paper (total in 1 paper)
Modulus of continuity for Bessel type poteniial over Lorentz space
N. H. Alkhalil S.M. Nikol’skii Mathematical Institute
Peoples Friendship University of Russia
6 Miklukho Maklai St,
117198, Moscow, Russia Federation
Abstract:
The generalized Bessel potentials are constructed using convolutions of the generalized Bessel–McDonald kernels with functions belonging to a basic rearrangement invariant space. Under assumptions ensuring the embedding of potentials into the space of bounded continuous functions, differential properties of potentials are described by using the $k$-th order modulus of continuity in the uniform norm. In the paper, estimates are given for the $k$-th order modulus of continuity in the uniform norm in the case of the generalized Bessel potentials constructed over the basic weighted Lorentz space.
Keywords and phrases:
the generalized Bessel potential, the modulus of continuity of a potential, Lorentz space, rearrangement invariant space.
Received: 07.06.2020
Citation:
N. H. Alkhalil, “Modulus of continuity for Bessel type poteniial over Lorentz space”, Eurasian Math. J., 12:2 (2021), 10–18
Linking options:
https://www.mathnet.ru/eng/emj399 https://www.mathnet.ru/eng/emj/v12/i2/p10
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Abstract page: | 143 | Full-text PDF : | 45 | References: | 25 |
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