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The Commutators of Intrinsic Square Functions on Weighted Herz Spaces

In this paper, we consider the boundedness properties of commutator operators generated by $$BMO(\mathbb {R}^n)$$ B M O ( R n ) function and intrinsic square function including the Lusin area integral, Littlewood-Paley g -function and $$g^*_{\uplambda }$$ g λ ∗ -function on weighted Herz spaces $$\d... Full description

Journal Title: Bulletin of the Malaysian Mathematical Sciences Society 2016, Vol.39(4), pp.1421-1437
Main Author: Hu, Yue
Other Authors: Wang, Yueshan
Format: Electronic Article Electronic Article
Language: English
Subjects:
BMO
ID: ISSN: 0126-6705 ; E-ISSN: 2180-4206 ; DOI: 10.1007/s40840-015-0223-0
Link: http://dx.doi.org/10.1007/s40840-015-0223-0
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recordid: springer_jour10.1007/s40840-015-0223-0
title: The Commutators of Intrinsic Square Functions on Weighted Herz Spaces
format: Article
creator:
  • Hu, Yue
  • Wang, Yueshan
subjects:
  • BMO
  • Commutator
  • Intrinsic square function
  • Muckenhoupt weight
  • Weighted Herz space
ispartof: Bulletin of the Malaysian Mathematical Sciences Society, 2016, Vol.39(4), pp.1421-1437
description: In this paper, we consider the boundedness properties of commutator operators generated by $$BMO(\mathbb {R}^n)$$ B M O ( R n ) function and intrinsic square function including the Lusin area integral, Littlewood-Paley g -function and $$g^*_{\uplambda }$$ g λ ∗ -function on weighted Herz spaces $$\dot{K}_q^{\alpha ,p}(\omega _1,\omega _2)(\mathbb {R}^n)$$ K ˙ q α , p ( ω 1 , ω 2 ) ( R n ) with general Muckenhoupt weights.
language: eng
source:
identifier: ISSN: 0126-6705 ; E-ISSN: 2180-4206 ; DOI: 10.1007/s40840-015-0223-0
fulltext: fulltext
issn:
  • 2180-4206
  • 21804206
  • 0126-6705
  • 01266705
url: Link


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subjectBMO ; Commutator ; Intrinsic square function ; Muckenhoupt weight ; Weighted Herz space
descriptionIn this paper, we consider the boundedness properties of commutator operators generated by $$BMO(\mathbb {R}^n)$$ B M O ( R n ) function and intrinsic square function including the Lusin area integral, Littlewood-Paley g -function and $$g^*_{\uplambda }$$ g λ ∗ -function on weighted Herz spaces $$\dot{K}_q^{\alpha ,p}(\omega _1,\omega _2)(\mathbb {R}^n)$$ K ˙ q α , p ( ω 1 , ω 2 ) ( R n ) with general Muckenhoupt weights.
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abstractIn this paper, we consider the boundedness properties of commutator operators generated by $$BMO(\mathbb {R}^n)$$ B M O ( R n ) function and intrinsic square function including the Lusin area integral, Littlewood-Paley g -function and $$g^*_{\uplambda }$$ g λ ∗ -function on weighted Herz spaces $$\dot{K}_q^{\alpha ,p}(\omega _1,\omega _2)(\mathbb {R}^n)$$ K ˙ q α , p ( ω 1 , ω 2 ) ( R n ) with general Muckenhoupt weights.
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