Tame $L^p$-multipliers

Kathryn Hare

Displaying similar documents to “Tame $L^{p}$ -multipliers”

The size of $(L^{2}, L^{p})$ multipliers

Kathryn Hare (1992)

Colloquium Mathematicae

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Necessary condition for measures which are $(L^{q}, L^{p})$ multipliers

Bérenger Akon Kpata, Ibrahim Fofana, Konin Koua (2009)

Annales mathématiques Blaise Pascal

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Let $G$ be a locally compact group and $ρ$ the left Haar measure on $G$ . Given a non-negative Radon measure $μ$ , we establish a necessary condition on the pairs $(q, p)$ for which $μ$ is a multiplier from $L^{q} (G, ρ)$ to $L^{p} (G, ρ)$ . Applied to $ℝ^{n}$ , our result is stronger than the necessary condition established by Oberlin in [14] and is closely related to a class of measures defined by Fofana in [7]. When $G$ ...

A note on coefficient multipliers $(H^{p}, ℬ)$ and $(H^{p}, B M O A)$

Maria Nowak (1995)

Banach Center Publications

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The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator

Gadjiev, Akif, Guliyev, Vagif (2008)

Fractional Calculus and Applied Analysis

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2000 Math. 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. * Akif Gadjiev’s research is partially supported by the grant of INTAS (project 06-1000017-8792) and Vagif Guliyev’s research is partially supported by the grant of the Azerbaijan–U.S. Bilateral Grants Program II (project ANSF Award / 16071) and by the grant of INTAS (project...

On the Hammerstein equation in the space of functions of bounded $ϕ$ -variation in the plane

Luis Azócar, Hugo Leiva, Jesús Matute, Nelson Merentes (2013)

Archivum Mathematicum

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In this paper we study existence and uniqueness of solutions for the Hammerstein equation $u (x) = v (x) + λ \int_{I_{a}^{b}} K (x, y) f (y, u (y)) d y, x \in I_{a}^{b} : = [a_{1}, b_{1}] \times [a_{2}, b_{2}],$ in the space $B V_{ϕ}^{ℝ} (I_{a}^{b})$ of function of bounded total $ϕ -$ variation in the sense of Riesz, where $λ \in ℝ$ , $K : I_{a}^{b} \times I_{a}^{b} \to ℝ$ and $f : I_{a}^{b} \times ℝ \to ℝ$ are suitable functions.

Some new Hardy spaces on locally compact Vilenkin groups

Shanzhen Lu, Dachun Yang (1993)

Colloquium Mathematicae

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Characterization of the boundedness for a family of commutators on $L^{p}$

Song Li (1996)

Colloquium Mathematicae

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On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

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Let $C V_{p} (F)$ be the left convolution operators on $L^{p} (G)$ with support included in F and $M_{p} (F)$ denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that $C V_{p} (F)$ , $C V_{p} (F) / M_{p} (F)$ and $C V_{p} (F) / W$ are as big as they can be, namely have $l^{\infty}$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_{p} (F)$ . Other subspaces of $C V_{p} (F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.

Displaying similar documents to “Tame L p -multipliers”

Displaying similar documents to “Tame $L^{p}$ -multipliers”