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Matematicheskie Zametki, 2017, Volume 102, Issue 5, Pages 736–748
DOI: https://doi.org/10.4213/mzm11778 (Mi mzm11778) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Embeddings between Grand, Small, and Variable Lebesgue Spaces

D. Cruz-Uribea, A. Fiorenzabc, O. M. Guzmand

a University of Alabama at Tuscaloosa, USA
b Istituto per le Applicazioni del Calcolo "Mauro Picone"
c Universitá degli Studi di Napoli Federico II
d Universidad Nacional de Colombia
Full-text PDF (491 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11778
Abstract: We give conditions on the exponent function $p(\,\cdot\,)$ that imply the existence of embeddings between the grand, small, and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.
Keywords: Banach function spaces, variable Lebesgue spaces, grand Lebesgue spaces, small Lebesgue spaces, embeddings.
Funding agency Grant number
National Science Foundation DMS-1362425
Фонд научных исследований Декана Колледжа искусств и науки Университета Алабамы
The first author is supported by NSF Grant DMS-1362425 and research funds from the Dean of the College of Arts & Sciences, the University of Alabama.
Received: 10.04.2017
Revised: 23.06.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 5, Pages 677–686
DOI: https://doi.org/10.1134/S0001434617110074
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: D. Cruz-Uribe, A. Fiorenza, O. M. Guzman, “Embeddings between Grand, Small, and Variable Lebesgue Spaces”, Mat. Zametki, 102:5 (2017), 736–748; Math. Notes, 102:5 (2017), 677–686
Citation in format AMSBIB
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\paper Embeddings between Grand, Small,
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\issue 5
\pages 736--748
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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