Abstract
Using Frazier and Jawerth's $\varphi$-transform, we characterize weighted generalized Carleson measure spaces $\dot{C}MO^{\alpha,q}_{p,w}$ for a weight $w$ and show that the definition of this space is well-defined by a Plancherel-Pôlya inequality. Note that $\dot{C}MO^{0,2}_{1,w}$ is the weighted $BMO$ space.
Citation
Hsun-Wu Liu. Kunchuan Wang. "A Characterization of Weighted Carleson Measure Spaces." Taiwanese J. Math. 23 (1) 103 - 127, February, 2019. https://doi.org/10.11650/tjm/180408
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