Riemann--Liouville Space of Fractional Potentials on the Half-Line
Informatics and Automation, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 127-136
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We study the Riemann–Liouville space of fractional potentials on the half-line and establish its properties such as embeddings in Besov spaces, Liouville classes, and Lizorkin–Triebel spaces.
Keywords:
Riemann–Liouville fractional integral, embedding, Lizorkin–Triebel space.
Mots-clés : Besov space
Mots-clés : Besov space
@article{TRSPY_2023_323_a6,
author = {M. L. Goldman and V. D. Stepanov},
title = {Riemann--Liouville {Space} of {Fractional} {Potentials} on the {Half-Line}},
journal = {Informatics and Automation},
pages = {127--136},
publisher = {mathdoc},
volume = {323},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a6/}
}
M. L. Goldman; V. D. Stepanov. Riemann--Liouville Space of Fractional Potentials on the Half-Line. Informatics and Automation, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 127-136. http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a6/