Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces

Hua Wang

Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces

Classical Analysis and ODEs 2013-01-14 v2

Authors: Hua Wang

Abstract

In this paper, by using the atomic decomposition theory of weighted Herz-type Hardy spaces, we will obtain some strong type and weak type estimates for intrinsic square functions including the Lusin area function, Littlewood-Paley $\mathcal G$ -function and $\mathcal G^*_\lambda$ -function on these spaces.

Keywords

intrinsic square functions weighted Herz-type Hardy spaces atomic decomposition Lusin area function Littlewood-Paley theory

Cite

@article{arxiv.1010.1132,
  title  = {Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces},
  author = {Hua Wang},
  journal= {arXiv preprint arXiv:1010.1132},
  year   = {2013}
}

Comments

25 pages. arXiv admin note: substantial text overlap with arXiv:1210.5795, arXiv:1010.0862, arXiv:1009.6142, arXiv:1102.4380, arXiv:1111.1387, arXiv:1103.1715

Some estimates of intrinsic square functions on weighted Herz-type Hardy spaces

Abstract

Keywords

Cite

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