Pointwise multipliers on weighted BMO spaces

Eiichi Nakai

Displaying similar documents to “Pointwise multipliers on weighted BMO spaces”

On projections in H¹ and BMO

Paul Müller (1988)

Studia Mathematica

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Notes on interpolation inequalities.

Dong, Jiu-Gang, Xiao, Ti-Jun (2011)

Advances in Difference Equations [electronic only]

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Some remarks on L $^{\infty}$ , H $^{\infty}$ , and $B M O$

Peter Grandits (1999)

Séminaire de probabilités de Strasbourg

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BMO and commutators of martingale transforms

Svante Janson (1981)

Annales de l'institut Fourier

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The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on $L^{p}$ , $1 < p < \infty$ , if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.

BMO-scale of distribution on $ℝ^{n}$

René Erlín Castillo, Julio C. Ramos Fernández (2008)

Czechoslovak Mathematical Journal

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Let $S^{'}$ be the class of tempered distributions. For $f \in S^{'}$ we denote by $J^{- α} f$ the Bessel potential of $f$ of order $α$ . We prove that if $J^{- α} f \in B M O$ , then for any $λ \in (0, 1)$ , $J^{- α} {(f)}_{λ} \in B M O$ , where ${(f)}_{λ} = λ^{- n} f (φ (λ^{- 1} \cdot))$ , $φ \in S$ . Also, we give necessary and sufficient conditions in order that the Bessel potential of a tempered distribution of order $α > 0$ belongs to the $V M O$ space.

Sharp weights and BMO-preserving homeomorphisms

Steven Bloom (1990)

Studia Mathematica

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An interpolation theorem with $A_{p}$ -weighted $L^{p}$ spaces

Steven Bloom (1990)

Studia Mathematica

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An atomic decomposition of the predual of BMO(ρ).

Beatriz E. Viviani (1987)

Revista Matemática Iberoamericana

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We study the Orlicz type spaces H, defined as a generalization of the Hardy spaces H for p ≤ 1. We obtain an atomic decomposition of H, which is used to provide another proof of the known fact that BMO(ρ) is the dual space of H (see S. Janson, 1980, [J]).

A characterization of BMO and $B M O_{ϱ}$

Carl Mueller (1982)

Studia Mathematica

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Rademacher functions in BMO

Sergey V. Astashkin, Mikhail Leibov, Lech Maligranda (2011)

Studia Mathematica

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The Rademacher sums are investigated in the BMO space on [0,1]. They span an uncomplemented subspace, in contrast to the dyadic $B M O_{d}$ space on [0,1], where they span a complemented subspace isomorphic to l₂. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in BMO are studied and an analog of the Kadec-Pełczyński type alternative with l₂ and c₀ spaces is proved.