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Littlewood-Paley积分与QK型空间的刻画
Littlewood-Paley Integrals and the Characterization of QK Type Spaces

DOI: 10.12677/PM.2021.113050, PP. 377-386

Keywords: Q型空间，Carleson测度，Littlewood-Paley函数
Q-Type Space, Carleson Measure, Littlewood-Paley Function

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Abstract:

本文主要研究一类新的一维Q型空间——QK,λ p(Ra)。首先给出了QK,λ p(Ra)的若干基本性质。进而通过一类Littlewood-Paley函数Φ所构成的卷积算子，得到了该空间的Carleson测度刻画。
In this paper, we introduce a new class of Q type spaces QK,λ p(Ra). We first investigate some basic properties of QK,λ p(Ra). Further, via a family of convolution operators generated by Littlewood-Paley functions Φ, we establish a Carleson measure characterization of QK,λ p(Ra).

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