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Displaying 41 – 49 of 49

Some new light on a few classical results

Ciprian Demeter, Prabath Silva (2015)

Colloquium Mathematicae

The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Córdoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, which does not rely on product theory. Our arguments are inspired by the vector-valued restricted type...

Some remarks on Bochner-Riesz means

S. Thangavelu (2000)

Colloquium Mathematicae

We study $L^{p}$ norm convergence of Bochner-Riesz means $S_{R}^{δ} f$ associated with certain non-negative differential operators. When the kernel $S_{R}^{m} (x, y)$ satisfies a weak estimate for large values of m we prove $L^{p}$ norm convergence of $S_{R}^{δ} f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.

Some sharp weighted estimates for multilinear operators.

Liu, Lanzhe (2004)

Documenta Mathematica

Spaces $H^{1}$ and $B M O$ on $a x + b$ - groups.

Maria Vallarino (2009)

Collectanea Mathematica

Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures.

Josefina Alvárez, Joseph Lakey, Martha Guzmán-Partida (2000)

Collectanea Mathematica

Spherical means and measures with finite energy

Themis Mitsis (2009)

Colloquium Mathematicae

We prove a restricted weak type inequality for the spherical means operator with respect to measures with finite α-energy, α ≤ 1. This complements recent results due to D. Oberlin.

Square functions of Calderón type and applications.

Steve Hofmann, John L. Lewis (2001)

Revista Matemática Iberoamericana

We establish L2 and Lp bounds for a class of square functions which arises in the study of singular integrals and boundary value problems in non-smooth domains. As an application, we present a simplified treatment of a class of parabolic smoothing operators which includes the caloric single layer potential on the boundary of certain minimally smooth, non-cylindrical domains.

Sufficient Conditions for One-Sided Operators.

M.S. Riveros, L. de Rosa, A. de de Torre (2000)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Symbol calculus on the affine group "ax + b"

Qihong Fan (1995)

Studia Mathematica

The symbol calculus on the upper half plane is studied from the viewpoint of the Kirillov theory of orbits. The main result is the $L^{p}$ -estimates for Fuchs type pseudodifferential operators.

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