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

Kathryn Hare

Displaying similar documents to “The size of $(L^{2}, L^{p})$ multipliers”

Tame $L^{p}$ -multipliers

Kathryn Hare (1993)

Colloquium Mathematicae

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We call an $L^{p}$ -multiplier m tame if for each complex homomorphism χ acting on the space of $L^{p}$ multipliers there is some $γ_{0} \in Γ$ and |a| ≤ 1 such that $χ (γ m) = a m (γ_{0} γ)$ for all γ ∈ Γ. Examples of tame multipliers include tame measures and one-sided Riesz products. Tame multipliers show an interesting similarity to measures. Indeed we show that the only tame idempotent multipliers are measures. We obtain quantitative estimates on the size of $L^{p}$ -improving tame multipliers which are similar to those obtained for...

Fundamental operator-valued functions of singular differential operators in Banach spaces.

Falaleev, M.V. (2000)

Sibirskij Matematicheskij Zhurnal

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Littlewood-Paley theory on solenoids

Nakhlé Asmar, Stephen Montgomery-Smith (1993)

Colloquium Mathematicae

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Optimal error of analytic continuation from a finite set with inaccurate data in Hilbert spaces of holomorphic functions.

Maergojz, L.S., Fedotov, A.M. (2001)

Sibirskij Matematicheskij Zhurnal

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Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator

Guliyev, Vagif, Hasanov, Javanshir (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials. ...

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...