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Transactions of the American Mathematical Society, 1985
Summary: We consider subspaces of \(BMO(R^ n)\) generated by one singular integral transform. We show that the averages along \(x_ j\)-lines of the jth Riesz transform of \(g\in BMO\cap L^ 2(R^ n)\) or \(g\in L^{\infty}(R^ n)\) satisfy a certain strong regularity property. One consequence of this result is that such functions satisfy a uniform doubling
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Summary: We consider subspaces of \(BMO(R^ n)\) generated by one singular integral transform. We show that the averages along \(x_ j\)-lines of the jth Riesz transform of \(g\in BMO\cap L^ 2(R^ n)\) or \(g\in L^{\infty}(R^ n)\) satisfy a certain strong regularity property. One consequence of this result is that such functions satisfy a uniform doubling
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Two characterizations of central BMO space via the commutators of Hardy operators
Forum Mathematicum, 2021Zunwei Fu, Shanzhen Lu, Shaoguang Shi
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bmo ρ (ω) spaces and Riesz transforms associated to Schrödinger operators
Science China Mathematics, 2016Hua Zhu
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Musielak-Orlicz BMO-type spaces associated with generalized approximations to the identity
Acta Mathematica Sinica, English Series, 2014Da Chun Yang, Yang Da Chun
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The Second-Order Riesz Transforms Related to Schrödinger Operators Acting on BMO-Type Spaces
Vietnam Journal of Mathematics, 2014Nguyen Ngoc Trong
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