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Volume 32, Issue 3
Characterizations of Function Spaces via Boundedness of Commutators

S. Z. Lu & S. G. Shi

DOI: 10.4208/ata.2016.v32.n3.7

Anal. Theory Appl., 32 (2016), pp. 291-302.

Published online: 2016-07

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  • Abstract

In this paper, we give some creative characterizations of Campanato spaces via the boundedness of commutators associated with the Calderόn-Zygmund singular integral operator, fractional integrals and Hardy type operators. Furthermore, we put forward a few problems on the characterizations of Campanato type spaces via the boundedness of commutators.

  • Keywords

Campanato space, Morrey space, commutator.

  • AMS Subject Headings

42B20, 42B25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-291, author = {S. Z. Lu and S. G. Shi}, title = {Characterizations of Function Spaces via Boundedness of Commutators}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {3}, pages = {291--302}, abstract = {

In this paper, we give some creative characterizations of Campanato spaces via the boundedness of commutators associated with the Calderόn-Zygmund singular integral operator, fractional integrals and Hardy type operators. Furthermore, we put forward a few problems on the characterizations of Campanato type spaces via the boundedness of commutators.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n3.7}, url = {http://global-sci.org/intro/article_detail/ata/4672.html} }
TY - JOUR T1 - Characterizations of Function Spaces via Boundedness of Commutators AU - S. Z. Lu & S. G. Shi JO - Analysis in Theory and Applications VL - 3 SP - 291 EP - 302 PY - 2016 DA - 2016/07 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n3.7 UR - https://global-sci.org/intro/article_detail/ata/4672.html KW - Campanato space, Morrey space, commutator. AB -

In this paper, we give some creative characterizations of Campanato spaces via the boundedness of commutators associated with the Calderόn-Zygmund singular integral operator, fractional integrals and Hardy type operators. Furthermore, we put forward a few problems on the characterizations of Campanato type spaces via the boundedness of commutators.

S. Z. Lu and S. G. Shi. (2016). Characterizations of Function Spaces via Boundedness of Commutators. Analysis in Theory and Applications. 32 (3). 291-302. doi:10.4208/ata.2016.v32.n3.7
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