Boundedness and compactness of some operators on discrete Morrey spaces

Martha Guzmán-Partida

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Issue: 2, page 151-158
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Guzmán-Partida, Martha. "Boundedness and compactness of some operators on discrete Morrey spaces." Commentationes Mathematicae Universitatis Carolinae (2021): 151-158. <http://eudml.org/doc/297734>.

@article{Guzmán2021,
abstract = {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.},
author = {Guzmán-Partida, Martha},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {discrete Morrey space; multiplication operator; compactness},
language = {eng},
number = {2},
pages = {151-158},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Boundedness and compactness of some operators on discrete Morrey spaces},
url = {http://eudml.org/doc/297734},
year = {2021},
}

TY - JOUR
AU - Guzmán-Partida, Martha
TI - Boundedness and compactness of some operators on discrete Morrey spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
IS - 2
SP - 151
EP - 158
AB - 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.
LA - eng
KW - discrete Morrey space; multiplication operator; compactness
UR - http://eudml.org/doc/297734
ER -

References

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  1. Avsyankin O. G., On the compactness of convolution-type operators in Morrey spaces, Mat. Zametki 102 (2017), no. 4, 483–489; translation in Math. Notes 102 (2017), no. 3–4, 437–443. MR3706865
  2. Gunawan H., Kikianty E., Schwanke C., 10.1002/mana.201700054, Math. Nachr. 291 (2018), no. 8–9, 1283–1296. MR3817318DOI10.1002/mana.201700054
  3. Gunawan H., Schwanke C., 10.1007/s00009-018-1277-7, Mediterr. J. Math. 16 (2019), no. 1, Paper No. 24, 12 pages. MR3911140DOI10.1007/s00009-018-1277-7
  4. Hanche-Olsen H., Holden H., 10.1016/j.exmath.2010.03.001, Expo. Math. 28 (2010), no. 4, 385–394. MR2734454DOI10.1016/j.exmath.2010.03.001
  5. Magyar A., Stein E. M., Wainger S., 10.2307/3062154, Ann. of Math. (2) 155 (2002), no. 1, 189–208. MR1888798DOI10.2307/3062154
  6. Morrey C. B., Jr., 10.1090/S0002-9947-1938-1501936-8, Trans. Amer. Math. Soc. 43 (1938), no. 1, 126–166. MR1501936DOI10.1090/S0002-9947-1938-1501936-8
  7. Stein E. M., Wainger S., 10.1090/S0273-0979-1990-15973-7, Bull. Amer. Math. Soc. (N.S) 23 (1990), no. 2, 537–544. MR1056560DOI10.1090/S0273-0979-1990-15973-7
  8. Stein E. M., Wainger S., 10.1353/ajm.1999.0046, Amer. J. Math. 21 (1999), no. 6, 1291–1336. MR1719802DOI10.1353/ajm.1999.0046
  9. Stein E. M., Wainger S., 10.1007/BF02791541, J. Anal. Math. 80 (2000), 335–355. MR1771530DOI10.1007/BF02791541

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