Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces

Guanghui Lu; Dinghuai Wang

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 2, page 513-524
  • ISSN: 0011-4642

Abstract

top
We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.

How to cite

top

Lu, Guanghui, and Wang, Dinghuai. "Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces." Czechoslovak Mathematical Journal 73.2 (2023): 513-524. <http://eudml.org/doc/299471>.

@article{Lu2023,
abstract = {We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.},
author = {Lu, Guanghui, Wang, Dinghuai},
journal = {Czechoslovak Mathematical Journal},
keywords = {characterization; commutator; Hardy-Littlewood maximal function; Lipschitz space; Triebel-Lizorkin space},
language = {eng},
number = {2},
pages = {513-524},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces},
url = {http://eudml.org/doc/299471},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Lu, Guanghui
AU - Wang, Dinghuai
TI - Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 2
SP - 513
EP - 524
AB - We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.
LA - eng
KW - characterization; commutator; Hardy-Littlewood maximal function; Lipschitz space; Triebel-Lizorkin space
UR - http://eudml.org/doc/299471
ER -

References

top
  1. Chaffee, L., Torres, R. H., 10.1007/s11118-015-9481-6, Potential Anal. 43 (2015), 481-494. (2015) Zbl1337.42010MR3430463DOI10.1007/s11118-015-9481-6
  2. Coifman, R. R., Rochberg, R., Weiss, G., 10.2307/1970954, Ann. Math. (2) 103 (1976), 611-635. (1976) Zbl0326.32011MR0412721DOI10.2307/1970954
  3. DeVore, R. A., Sharpley, R. C., 10.1090/memo/0293, Memoirs of the American Mathematical Society 293. AMS, Providence (1984). (1984) Zbl0529.42005MR0727820DOI10.1090/memo/0293
  4. Janson, S., 10.1007/BF02386000, Ark. Mat. 16 (1978), 263-270. (1978) Zbl0404.42013MR0524754DOI10.1007/BF02386000
  5. Janson, S., Taibleson, M., Weiss, G., 10.1007/BFb0069154, Harmonic analysis Lecture Notes in Mathematics 992. Springer, Berlin (1983), 101-114. (1983) Zbl0521.46022MR0729349DOI10.1007/BFb0069154
  6. Kato, T., Ponce, G., 10.1002/cpa.3160410704, Commun. Pure Appl. Math. 41 (1988), 891-907. (1988) Zbl0671.35066MR0951744DOI10.1002/cpa.3160410704
  7. Lerner, A. K., Ombrosi, S., Pérez, C., Torres, R. H., Trujillo-González, R., 10.1016/j.aim.2008.10.014, Adv. Math. 220 (2009), 1222-1264. (2009) Zbl1160.42009MR2483720DOI10.1016/j.aim.2008.10.014
  8. Paluszyński, M., 10.1512/iumj.1995.44.1976, Indiana Univ. Math. J. 44 (1995), 1-17. (1995) Zbl0838.42006MR1336430DOI10.1512/iumj.1995.44.1976
  9. Triebel, H., 10.1007/978-3-0346-0416-1, Monographs in Mathematics 78. Birkhäuser, Basel (1983). (1983) Zbl0546.46027MR0781540DOI10.1007/978-3-0346-0416-1
  10. Triebel, H., 10.1007/978-3-0346-0419-2, Monographs in Mathematics 84. Birkhäuser, Basel (1992). (1992) Zbl0763.46025MR1163193DOI10.1007/978-3-0346-0419-2
  11. Wang, D. H., Zhou, J., Teng, Z. D., 10.1134/S0001434618030148, Math. Notes 103 (2018), 483-489. (2018) Zbl1428.42044MR3789105DOI10.1134/S0001434618030148
  12. Zhang, P., 10.1007/s10114-015-4293-6, Acta Math. Sin., Engl. Ser. 31 (2015), 973-994. (2015) Zbl1325.42025MR3343963DOI10.1007/s10114-015-4293-6
  13. Zhang, P., 10.1016/j.crma.2017.01.022, C. R., Math., Acad. Sci. Paris 355 (2017), 336-344. (2017) Zbl1364.42026MR3621264DOI10.1016/j.crma.2017.01.022

NotesEmbed ?

top

You must be logged in to post comments.