Results 41 to 50 of about 595,216 (216)

Hardy-type inequalities for integral transforms associated with Jacobi operator

International Journal of Mathematics and Mathematical Sciences, 2005
We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.
M. Dziri, L. T. Rachdi
doaj   +1 more source

Commutators of Hardy operators

Journal of Mathematical Analysis and Applications, 2002
Hardy's integral inequalities for commutators generating Hardy operators and fractional order Hardy operators with onesided dyadic central mean oscillation functions are established.
Shunchao, Long, Jian, Wang
openaire   +1 more source

Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces

Results in Applied Mathematics
This paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces.
HanLin Li, Jiang Zhou
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Riesz Transform Characterization of Weighted Hardy Spaces Associated with Schrödinger Operators

Journal of Function Spaces, 2016
We characterize the weighted local Hardy spaces hρ1(ω) related to the critical radius function ρ and weights ω∈A1ρ,∞(Rn) by localized Riesz transforms R^j; in addition, we give a characterization of weighted Hardy spaces HL1(ω) via Riesz transforms ...
Hua Zhu
doaj   +1 more source

Generalized Hilbert operator on analytic function spaces [PDF]

Arab Journal of Mathematical Sciences
PurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
doaj   +1 more source

Modular inequalities for the Hardy averaging operator [PDF]

, 1999
summary:If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form \int u \phi(Pf) \leq C\int v \phi(f) are established for a general class of functions $\phi$. Modular inequalities for the two-
Heinig, Hans P.
core   +1 more source

Hardy inequalities with Bessel pair for Dunkl operator

Advanced Nonlinear Studies
Using the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan, Nguyen Phong Van, Pham Hien Thi Thu   +2 more
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Weighted Calderón-Hardy spaces [PDF]

Mathematica Bohemica
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
doaj   +1 more source

A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions

Mathematics, 2020
In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms.
Bicheng Yang, Shanhe Wu, Qiang Chen
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The spectra and eigenvectors for the weighted mean matrix operator

Arab Journal of Mathematical Sciences, 2015
In this paper, first we give conditions under which the weighted mean matrix operator is bounded on the weighted Hardy spaces, and we characterize the spectrum of the weighted mean matrix operator acting on some sequence spaces.
E. Pazouki, B. Yousefi
doaj   +1 more source