Convolution operators and Bochner-Riesz means on Herz-type Hardy spaces in the Dunkl setting.

Gasmi, A.; Soltani, F.

Displaying similar documents to “Convolution operators and Bochner-Riesz means on Herz-type Hardy spaces in the Dunkl setting.”

Dunkl translation and uncentered maximal operator on the real line.

Abdelkefi, Chokri, Sifi, Mohamed (2007)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Riesz potential on the Heisenberg group.

Xiao, Jinsen, He, Jianxun (2011)

Journal of Inequalities and Applications [electronic only]

Similarity:

Hardy Inequality in Variable Exponent Lebesgue Spaces

Diening, Lars, Samko, Stefan (2007)

Fractional Calculus and Applied Analysis

Similarity:

Mathematics Subject Classification: 26D10, 46E30, 47B38 We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.

Littlewood-Paley $g$ -functions and multipliers for the Laguerre hypergroup.

Huang, Jizheng (2011)

Journal of Inequalities and Applications [electronic only]

Similarity:

Fractional integration on Hardy spaces

Steven Krantz (1982)

Studia Mathematica

Similarity:

Two special convolution products of $(n / 2 - k - 1)$ -th derivatives of Dirac delta in hypercone.

Aguirre Téllez, Manuel A. (2001)

Applied Mathematics E-Notes [electronic only]

Similarity:

On Cesaro Means in Hardy Spaces

Miroslav Pavlović (1996)

Publications de l'Institut Mathématique

Similarity:

Littlewood-Paley $g$ -function in the Dunkl analysis on $ℝ^{d}$ .

Soltani, Fethi (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Similarity:

Why the Riesz transforms are averages of the dyadic shifts?

Stefanie Petermichl, Serguei Treil, Alexander L. Volberg (2002)

Publicacions Matemàtiques

Similarity:

The first author showed in [18] that the Hilbert transform lies in the closed convex hull of dyadic singular operators - so called dyadic shifts. We show here that the same is true in any Rⁿ - the Riesz transforms can be obtained as the results of averaging of dyadic shifts. The goal of this paper is almost entirely methodological: we simplify the previous approach, rather than presenting the new one. [Proceedings of the 6th International...

Extensions of locally bounded convolution operators in $L^{p}$ -spaces

G. Okikiolu (1969)

Studia Mathematica

Similarity:

Hardy space H associated to Schrödinger operator with potential satisfying reverse Hölder inequality.

Jacek Dziubanski, Jacek Zienkiewicz (1999)

Revista Matemática Iberoamericana

Similarity:

Let {T} be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space H by means of a maximal function associated with the semigroup {T}. Atomic and Riesz transforms characterizations of H are shown.

A₁-regularity and boundedness of Calderón-Zygmund operators

Dmitry V. Rutsky (2014)

Studia Mathematica

Similarity:

The Coifman-Fefferman inequality implies quite easily that a Calderón-Zygmund operator T acts boundedly in a Banach lattice X on ℝⁿ if the Hardy-Littlewood maximal operator M is bounded in both X and X'. We establish a converse result under the assumption that X has the Fatou property and X is p-convex and q-concave with some 1 < p, q < ∞: if a linear operator T is bounded in X and T is nondegenerate in a certain sense (for example, if T is a Riesz transform) then M is bounded...