Central BMO spaces with variable exponent
Dinghuai Wang, Zongguang Liu, Jiang Zhou, Zhidong Teng
TL;DR
This paper introduces central BMO spaces with variable exponents and characterizes them via commutator boundedness, also exploring vector-valued commutators on Herz spaces with variable exponents.
Contribution
It presents a novel definition of central BMO spaces with variable exponents and characterizes these spaces through the boundedness of specific commutators.
Findings
Characterization of central BMO spaces with variable exponent
Boundedness of commutators of Hardy operators on variable Lebesgue spaces
Boundedness of vector-valued commutators on Herz spaces with variable exponent
Abstract
In this paper, the central BMO spaces with variable exponent are introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on variable Lebesgue spaces. The boundedness of vector-valued commutators on Herz spaces with variable exponent are also considered.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Advanced Banach Space Theory