Comparison of the classical BMO with the BMO spaces associated with operators and applications.
D. Deng, X. T. Duong, A. Sikora, l. Yan (2008)
Revista Matemática Iberoamericana
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D. Deng, X. T. Duong, A. Sikora, l. Yan (2008)
Revista Matemática Iberoamericana
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Lesley A. Ward (2002)
Revista Matemática Iberoamericana
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The process of translation averaging is known to improve dyadic BMO to the space BMO of functions of bounded mean oscillation, in the sense that the translation average of a family of dyadic BMO functions is necessarily a BMO function. The present work investigates the effect of translation averaging in other dyadic settings. We show that translation averages of dyadic doubling measures need not be doubling measures, translation averages of dyadic Muckenhoupt weights need not be Muckenhoupt...
J. Parcet (2007)
Revista Matemática Iberoamericana
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Marco Bramanti, Luca Brandolini (2005)
Revista Matemática Iberoamericana
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M. Wilson (2007)
Revista Matemática Iberoamericana
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Herbert Koch, Winfried Sickel (2002)
Revista Matemática Iberoamericana
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Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele (2006)
Revista Matemática Iberoamericana
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We prove that classical Coifman-Meyer theorem holds on any polidisc T or arbitrary dimension d ≥ 1.
Shinya Moritoh, Tomomi Yamada (2004)
Revista Matemática Iberoamericana
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Sönke Blunck, Peer Christian Kunstmann (2003)
Revista Matemática Iberoamericana
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María José González, Artur Nicolau (2004)
Revista Matemática Iberoamericana
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We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function. The size of ...