A simple proof of the $L^p$ continuity of the higher order Riesz transforms with respect to the gaussian measure $\gamma _d$

Liliana Forzani; Roberto Scotto; Wilfredo Urbina

Displaying similar documents to “A simple proof of the $L^{p}$ continuity of the higher order Riesz transforms with respect to the gaussian measure $γ_{d}$ ”

Remark On Fatou-Riesz's Theorem

Vojislav G. Avakumović (1955)

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Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator

Adam Nowak, Luz Roncal, Krzysztof Stempak (2010)

Colloquium Mathematicae

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We propose a definition of Riesz transforms associated to the Ornstein-Uhlenbeck operator based on the Dunkl Laplacian. In the case related to the group ℤ ₂ it is proved that the Riesz transform is bounded on the corresponding $L^{p}$ spaces, 1 < p < ∞.

On A Mercerian Theorem And It's Application To The Equiconvergence Of Cesàro And Riesz Transforms

Shimshon Zimering (1961)

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Louis Pigno, Sadahiro Saeki (1990)

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Remark On Fatou-Riesz's Theorem

Vojislav G. Avakumović (1955)

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On strong Riesz sets

Robert E. Dressler, Louis Pigno (1974)

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Riesz spaces of order bounded disjointness preserving operators

Fethi Ben Amor (2007)

Commentationes Mathematicae Universitatis Carolinae

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Let $L$ , $M$ be Archimedean Riesz spaces and $ℒ_{b} (L, M)$ be the ordered vector space of all order bounded operators from $L$ into $M$ . We define a Lamperti Riesz subspace of $ℒ_{b} (L, M)$ to be an ordered vector subspace $ℒ$ of $ℒ_{b} (L, M)$ such that the elements of $ℒ$ preserve disjointness and any pair of operators in $ℒ$ has a supremum in $ℒ_{b} (L, M)$ that belongs to $ℒ$ . It turns out that the lattice operations in any Lamperti Riesz subspace $ℒ$ of $ℒ_{b} (L, M)$ are given pointwise, which leads to a generalization of the classic Radon-Nikod’ym theorem...

An generalization of the Riesz potential

Tomica Divnić, Zlata Đurić (2000)

Kragujevac Journal of Mathematics

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Riesz spaces and the ultrafilter theorem, I

G. J. H. M. Buskes, A. C. M. Van Rooij (1992)

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C. D. Aliprantis, O. Burkinshaw (1982)

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A. C. Zaanen (1972)

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On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials

Guliyev, Emin (2009)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...

Displaying similar documents to “A simple proof of the L p continuity of the higher order Riesz transforms with respect to the gaussian measure γ d ”

Displaying similar documents to “A simple proof of the $L^{p}$ continuity of the higher order Riesz transforms with respect to the gaussian measure $γ_{d}$ ”