Necessary and sufficient conditions for the boundedness of Dunkl-type fractional maximal operator in the Dunkl-type Morrey spaces.
Guliyev, Emin, Eroglu, Ahmet, Mammadov, Yagub (2010)
Abstract and Applied Analysis
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Displaying similar documents to “Dunkl translation and uncentered maximal operator on the real line.”
Necessary and sufficient conditions for the boundedness of Dunkl-type fractional maximal operator in the Dunkl-type Morrey spaces.
Convolution operators and Bochner-Riesz means on Herz-type Hardy spaces in the Dunkl setting.
Gasmi, A., Soltani, F. (2010)
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International Journal of Mathematics and Mathematical Sciences
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Thickness conditions and Littlewood-Paley sets
Vladimir Lebedev (2014)
Studia Mathematica
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We consider sets in the real line that have Littlewood-Paley properties LP(p) or LP and study the following question: How thick can these sets be?
The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent
Jingshi Xu (2007)
Czechoslovak Mathematical Journal
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The boundednees of multilinear commutators of Calderón-Zygmund singular integrals on Lebesgue spaces with variable exponent is obtained. The multilinear commutators of generalized Hardy-Littlewood maximal operator are also considered.
Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
Ka Luen Cheung, Kwok-Pun Ho (2014)
Czechoslovak Mathematical Journal
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The family of block spaces with variable exponents is introduced. We obtain some fundamental properties of the family of block spaces with variable exponents. They are Banach lattices and they are generalizations of the Lebesgue spaces with variable exponents. Moreover, the block space with variable exponents is a pre-dual of the corresponding Morrey space with variable exponents. The main result of this paper is on the boundedness of the Hardy-Littlewood maximal operator on the block...
Maximal functions for Weinstein operator
Chokri Abdelkefi (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In the present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on Lp of the uncentered maximal function. First, we establish estimates for the Weinstein translation of characteristic function of a closed ball with radius ε centered at 0 on the upper half space Rd-1× ]0,+∞[. Second, we prove weak-type L1-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain the Lp-boundedness of this operator for...