WOS: 000345460700025In this work we define and study Poisson integral associated with Laplace-Bessel differential operators. We establish weighted inequalities with a general weight for the g-Littlewood-Paley functions and the commutator g(b,k) defined by (1.2) associated with Laplace Bessel differential operator.Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [110T695]; Ahi Evran University Science Research Project, (Kirsehir, Turkey)Ahi Evran University [FBA-11-11, FBA-11-13]The research of A.Akbulut and V.Guliyev was partially supported by the Scientific and Technological Research Council of Turkey (TUBITAK Project No: 110T695). The research of A. Akbulut was part...
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Let $\{\mathbb{P}_t\}_{t>0}$ be the classical Poisson semigroup on $\mathbb{R}^d$ and $G^{\mathbb{P}...
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AbstractWe consider a vector version of Lp-multipliers for the Dunkl transform on R and we prove Lp-...
We study several fundamental operators in harmonic analysis related to Bessel operators, including m...
Abstract. In this paper we consider square functions (also called Littlewood-Paley g-functions) asso...
We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat an...
Let $n\ge 2$ and $g_{\lambda}^{*}$ be the well-known high dimensional Littlewood-Paley function whic...
In this paper we study boundedness properties of certain harmonic analysis operators (maximal operat...
In this work we study the boundedness of the maximal and fractional integral operators associated wi...
Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea for the operator \[...
In this work we consider the operator associated with the three-term recurrence relation for the Jac...
We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted norm and we...
We consider several harmonic analysis operators in the multi-dimensional context of the Dunkl Laplac...
In this paper we study boundedness properties of certain harmonic analysis operators (maximal operat...
Let $\{\mathbb{P}_t\}_{t>0}$ be the classical Poisson semigroup on $\mathbb{R}^d$ and $G^{\mathbb{P}...
Let $\{\mathbb{P}_t\}_{t>0}$ be the classical Poisson semigroup on $\mathbb{R}^d$ and $G^{\mathbb{P}...
gk-Functions related to the Poisson semigroup of Fourier-Bessel expansions are defined for each k 1...
AbstractWe consider a vector version of Lp-multipliers for the Dunkl transform on R and we prove Lp-...
We study several fundamental operators in harmonic analysis related to Bessel operators, including m...
Abstract. In this paper we consider square functions (also called Littlewood-Paley g-functions) asso...