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, PDF,    国家自然科学基金支持
作者: 崔 洁：青岛大学数学与统计学院，山东 青岛
关键词: Q型空间；Carleson测度；Littlewood-Paley函数；Q-Type Space； Carleson Measure； Littlewood-Paley Function
摘要: 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。
Abstract: 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).
文章引用：崔洁. Littlewood-Paley积分与QK型空间的刻画[J]. 理论数学, 2021, 11(3): 377-386. https://doi.org/10.12677/PM.2021.113050

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