Sharp Embeddings of Besov spaces involving small logarithmic smoothness
Joint Authors
Ati, Hind Muhammad Hamdan
Abd Allah, Shawqi Husayn
Source
Issue
Vol. 2021, Issue 8 (30 Jun. 2021), pp.165-186, 22 p.
Publisher
مركز بحوث و دراسات دول حوض البحر الأحمر
Publication Date
2021-06-30
Country of Publication
Sudan
No. of Pages
22
Main Subjects
Abstract EN
We use Kolyada’s inequality and its converse form and the work ofAntónio M.
Caetano, Amiran Gogatishvili [17] to show sharp embedding's of Besov spaces (involving the zero classical smoothness and a logarithmic smoothness with the small exponent into Lorentz–Zygmund spaces.
We also determine the small growth envelopes of spaces In distinction to the case when the classical smoothness is positive, we show that we cannot describe all embedding's in question in terms of the small growth envelopes.
American Psychological Association (APA)
Abd Allah, Shawqi Husayn& Ati, Hind Muhammad Hamdan. 2021. Sharp Embeddings of Besov spaces involving small logarithmic smoothness. Al-ghulzum Scientific Journal،Vol. 2021, no. 8, pp.165-186.
https://search.emarefa.net/detail/BIM-1436252
Modern Language Association (MLA)
Abd Allah, Shawqi Husayn& Ati, Hind Muhammad Hamdan. Sharp Embeddings of Besov spaces involving small logarithmic smoothness. Al-ghulzum Scientific Journal No. 8 (Jun. 2021), pp.165-186.
https://search.emarefa.net/detail/BIM-1436252
American Medical Association (AMA)
Abd Allah, Shawqi Husayn& Ati, Hind Muhammad Hamdan. Sharp Embeddings of Besov spaces involving small logarithmic smoothness. Al-ghulzum Scientific Journal. 2021. Vol. 2021, no. 8, pp.165-186.
https://search.emarefa.net/detail/BIM-1436252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 186
Record ID
BIM-1436252