| Title:
|
Boundedness and compactness of some operators on discrete Morrey spaces (English) |
| Author:
|
Guzmán-Partida, Martha |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
62 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
151-158 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider discrete versions of Morrey spaces introduced by Gunawan et al. in papers published in 2018 and 2019. We prove continuity and compactness of multiplication operators and commutators acting on them. (English) |
| Keyword:
|
discrete Morrey space |
| Keyword:
|
multiplication operator |
| Keyword:
|
compactness |
| MSC:
|
42B35 |
| MSC:
|
46B45 |
| MSC:
|
46B50 |
| idZBL:
|
Zbl 07396215 |
| idMR:
|
MR4303574 |
| DOI:
|
10.14712/1213-7243.2021.015 |
| . |
| Date available:
|
2021-07-28T08:32:39Z |
| Last updated:
|
2023-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149008 |
| . |
| Reference:
|
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| Reference:
|
[2] Gunawan H., Kikianty E., Schwanke C.: Discrete Morrey spaces and their inclusion properties.Math. Nachr. 291 (2018), no. 8–9, 1283–1296. MR 3817318, 10.1002/mana.201700054 |
| Reference:
|
[3] Gunawan H., Schwanke C.: The Hardy–Littlewood maximal operator on discrete Morrey spaces.Mediterr. J. Math. 16 (2019), no. 1, Paper No. 24, 12 pages. MR 3911140, 10.1007/s00009-018-1277-7 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[6] Morrey C. B., Jr.: On the solutions of quasi-linear elliptic partial differential equations.Trans. Amer. Math. Soc. 43 (1938), no. 1, 126–166. MR 1501936, 10.1090/S0002-9947-1938-1501936-8 |
| Reference:
|
[7] Stein E. M., Wainger S.: Discrete analogues of singular Radon transforms.Bull. Amer. Math. Soc. (N.S) 23 (1990), no. 2, 537–544. MR 1056560, 10.1090/S0273-0979-1990-15973-7 |
| Reference:
|
[8] Stein E. M., Wainger S.: Discrete analogues in harmonic analysis I: $l^{2}$ estimates for singular Radon transforms.Amer. J. Math. 21 (1999), no. 6, 1291–1336. MR 1719802, 10.1353/ajm.1999.0046 |
| Reference:
|
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| . |
