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

S. Z. Lu & S. G. Shi

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.

  • AMS Subject Headings

42B20, 42B25

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COPYRIGHT: © Global Science Press

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@Article{ATA-32-291, author = {}, 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 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 & S. G. Shi. (1970). 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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