Article detail · 2017
Generalized Hardy–Morrey Spaces
Journal
Zeitschrift für Analysis und ihre AnwendungenISSN 0232-2064
The ISSN points to another catalog journal; the name is from the YÖKSİS record.
- Year
- 2017
- DOI
- 10.4171/ZAA/1582
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Zeitschrift für Analysis und ihre Anwendungen
- Catalog match (ISSN) Zeitschrift fur Analysis und ihre Anwendungen
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · de
This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17–35]. We propose a way to consider the decomposition method of generalized Hardy–Morrey spaces. Generalized Hardy–Morrey spaces emerged from generalized Morrey spaces. By means of the grand maximal operator and the norm of generalized Morrey spaces, we can define generalized Hardy–Morrey spaces. With what we have culminated for the Hardy–Littlewood maximal operator, we can easily refine the existing results. As an application, we consider bilinear estimates, which is the "so-called" Olsen inequality. In particular, our results complement the one in the 2014 paper by Iida, the fourth author and Tanaka [Z. Anal. Anwend. 33 (2014)(2), 149–170]; there were two mistakes. One lies in the decomposition result and another lies in the proof of the Olsen inequality.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
11 citations
OpenAlex cited_by_count (cache / database)
2 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).