2012•arXiv (Cornell University)Open access

The boundedness of intrinsic square functions on the weighted Herz spaces

Hua Wang

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Abstract

In this paper, we will obtain the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_λ$-function on the weighted Herz spaces $\dot K^{α,p}_q(w_1,w_2)$ ($K^{α,p}_q(w_1,w_2)$) with general weights.

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In this paper, we will obtain the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_λ$-function on the weighted Herz spaces $\dot K^{α,p}_q(w_1,w_2)$ ($K^{α,p}_q(w_1,w_2)$) with general weights.

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Available abstract

In this paper, we will obtain the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_λ$-function on the weighted Herz spaces $\dot K^{α,p}_q(w_1,w_2)$ ($K^{α,p}_q(w_1,w_2)$) with general weights.

Key concepts: Mathematics, Square (algebra), Type (biology), Function (biology), Lambda, Mathematical analysis, Pure mathematics, Combinatorics

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