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Morrey Spaces on Domains: Different Approaches and Growth Envelopes
We deal with Morrey spaces on bounded domains [Formula: see text] obtained by different approaches. In particular, we consider three settings [Formula: see text] , [Formula: see text] and [Formula: see text] , where [Formula: see text] , commonly used in the literature, and study their connections a...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294180/ https://www.ncbi.nlm.nih.gov/pubmed/30839873 http://dx.doi.org/10.1007/s12220-017-9843-y |
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author | Haroske, Dorothee D. Schneider, Cornelia Skrzypczak, Leszek |
author_facet | Haroske, Dorothee D. Schneider, Cornelia Skrzypczak, Leszek |
author_sort | Haroske, Dorothee D. |
collection | PubMed |
description | We deal with Morrey spaces on bounded domains [Formula: see text] obtained by different approaches. In particular, we consider three settings [Formula: see text] , [Formula: see text] and [Formula: see text] , where [Formula: see text] , commonly used in the literature, and study their connections and diversities. Moreover, we determine the growth envelopes [Formula: see text] as well as [Formula: see text] , and obtain some applications in terms of optimal embeddings. Surprisingly, it turns out that the interplay between p and u in the sense of whether [Formula: see text] or [Formula: see text] plays a decisive role when it comes to the behaviour of these spaces. |
format | Online Article Text |
id | pubmed-6294180 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-62941802018-12-28 Morrey Spaces on Domains: Different Approaches and Growth Envelopes Haroske, Dorothee D. Schneider, Cornelia Skrzypczak, Leszek J Geom Anal Article We deal with Morrey spaces on bounded domains [Formula: see text] obtained by different approaches. In particular, we consider three settings [Formula: see text] , [Formula: see text] and [Formula: see text] , where [Formula: see text] , commonly used in the literature, and study their connections and diversities. Moreover, we determine the growth envelopes [Formula: see text] as well as [Formula: see text] , and obtain some applications in terms of optimal embeddings. Surprisingly, it turns out that the interplay between p and u in the sense of whether [Formula: see text] or [Formula: see text] plays a decisive role when it comes to the behaviour of these spaces. Springer US 2017-04-24 2018 /pmc/articles/PMC6294180/ /pubmed/30839873 http://dx.doi.org/10.1007/s12220-017-9843-y Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Article Haroske, Dorothee D. Schneider, Cornelia Skrzypczak, Leszek Morrey Spaces on Domains: Different Approaches and Growth Envelopes |
title | Morrey Spaces on Domains: Different Approaches and Growth Envelopes |
title_full | Morrey Spaces on Domains: Different Approaches and Growth Envelopes |
title_fullStr | Morrey Spaces on Domains: Different Approaches and Growth Envelopes |
title_full_unstemmed | Morrey Spaces on Domains: Different Approaches and Growth Envelopes |
title_short | Morrey Spaces on Domains: Different Approaches and Growth Envelopes |
title_sort | morrey spaces on domains: different approaches and growth envelopes |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294180/ https://www.ncbi.nlm.nih.gov/pubmed/30839873 http://dx.doi.org/10.1007/s12220-017-9843-y |
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