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Weak type estimates of intrinsic square functions on the weighted Hardy spaces

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Abstract

In this paper, by using the atomic decomposition theory of weighted Hardy spaces, we will give some weighted weak type estimates for intrinsic square functions including the Lusin area function, Littlewood–Paley g-function and \({g^*_\lambda}\)-function on these spaces.

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Correspondence to Hua Wang.

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Supported by National Natural Science Foundation of China under Grant #10871003, #10990012 and the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant #2007001040.

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Wang, H., Liu, H. Weak type estimates of intrinsic square functions on the weighted Hardy spaces. Arch. Math. 97, 49–59 (2011). https://doi.org/10.1007/s00013-011-0264-z

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  • DOI: https://doi.org/10.1007/s00013-011-0264-z

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