نتایج جستجو برای: hardy type kernel
تعداد نتایج: 1394303 فیلتر نتایج به سال:
In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, introduce new family quaternionic reproducing kernel Hilbert spaces the framework Fueter regular functions. The construction is based on general idea which allows us to obtain various function by specifying suitable sequence real numbers. We focus Fock and Hardy cases setting, a...
The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz-Hardy spaces are obtained.
We prove some Hardy type inequalities related to quasilinear second order degenerate elliptic differential operators Lpu := −∇ ∗ L(|∇Lu| ∇Lu). If φ is a positive weight such that −Lpφ ≥ 0, then the Hardy type inequality c ∫ Ω |u| φp |∇Lφ| p dξ ≤ ∫
In the slice Hardy space over unit ball of quaternions, we introduce hyperbolic backward shift operator $$\mathcal S_a$$ with decomposition process $$\begin{aligned} f=e_a\langle f, e_a\rangle +B_{a}*\mathcal S_a \end{aligned}$$ where $$e_a$$ denotes normalized Szegö kernel and $$ B_a Blaschke factor. Iterating above process, a corresponding maximal selection principle gives rise to adaptive Fo...
On the real line, the Dunkl operators are differential-difference operators introduced in 1989 by Dunkl [1] and are denoted by Λα, where α is a real parameter > −1/2. These operators are associated with the reflection group Z2 on R. The Dunkl kernel Eα is used to define the Dunkl transform α which was introduced by Dunkl in [2]. Rösler in [3] shows that the Dunkl kernels verify a product formul...
We study connections between orthogonal polynomials, reproducing kernel functions, and polynomials p minimizing Dirichlet-type norms ‖pf − 1‖α for a given function f . For α ∈ [0, 1] (which includes the Hardy and Dirichlet spaces of the disk) and general f , we show that such extremal polynomials are non-vanishing in the closed unit disk. For negative α, the weighted Bergman space case, the ext...
Let X be an RD-space, which means that X is a space of homogenous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds in X . In this paper, the authors first introduce the notion of admissible functions ρ and then develop a theory of localized Hardy spaces H ρ (X ) associated with ρ, which includes several maximal function characterizations...
Abstract By means of the weight functions, idea introducing parameters and technique real analysis, a new Hardy–Hilbert-type integral inequality with homogeneous kernel $\frac{1}{(x + y)^{\lambda}}\ (\lambda > 0)$ 1(x+y<m...
In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities, as special cases, when T= R contain some integral inequalities and when T= N contain the discrete inequalities due to Leindler. The main results will be proved by using the Hölder inequality and a simple consequence of Keller’s chain rule on time scales. From our results, as applications, we will d...
This paper is devoted to some new generalization of Hardy-type integral inequalities and the reversed forms. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. Improvement of some inequalities are also presented.
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