Variational characterizations of weighted Hardy spaces and weighted $BMO$ spaces
Weichao Guo, Yongming Wen, Huoxiong Wu, Dongyong Yang
TL;DR
This paper introduces new characterizations of weighted Hardy and BMO spaces using the boundedness of variation operators linked to approximate identities and their commutators.
Contribution
It provides novel variational characterizations of weighted Hardy and BMO spaces, expanding understanding of their structure and boundedness properties.
Findings
Weighted Hardy spaces characterized via variation operators.
Weighted BMO spaces characterized through commutators of variation operators.
New tools for analyzing weighted function spaces.
Abstract
This paper obtains new characterizations of weighted Hardy spaces and certain weighted type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Advanced Banach Space Theory