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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   +8 more sources

Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]

Journal of Function Spaces and Applications, 2013
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012.
Eiichi Nakai, Gaku Sadasue, Yoshihiro Sawano   +2 more
doaj   +5 more sources

ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017
We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman ...
R. F. Shamoyan, S.P. Maksakov
doaj   +5 more sources

Hardy’s inequality on Hardy–Morrey spaces

Georgian Mathematical Journal, 2017
Abstract We generalize the Hardy inequality to Hardy–Morrey spaces.
Kwok-Pun Ho
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Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

Journal of Function Spaces, 2014
(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out.
Jiang Zhou, Dinghuai Wang
doaj   +2 more sources

Hardy operators and the commutators on Hardy spaces [PDF]

Journal of Inequalities and Applications, 2020
In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\
Zhuang Niu, Shasha Guo, Wenming Li
doaj   +3 more sources

On the Generalized Hardy Spaces [PDF]

Abstract and Applied Analysis, 2010
We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.
M. Fatehi
doaj   +4 more sources

Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces

International Journal of Mathematics and Mathematical Sciences, 2003
The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz-Hardy spaces are obtained.
Liu Lanzhe
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Inclusions of Hardy Orlicz spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1986
Let ϕ be a continuous positive increasing function defined on [0,∞) such that ϕ(x+y)≤ϕ(x)+ϕ(y) and ϕ(0)=0. The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological
Roshdi Khalil
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Discrete Hardy Spaces [PDF]

Journal of Fourier Analysis and Applications, 2014
The authors summarize the contents of this paper in the abstract as follows: We study the boundary behavior of discrete monogenic functions, i.e. null-solutions of a discrete Dirac operator, in the upper and lower half space. Calculating the Fourier symbol of the boundary operator we construct the corresponding discrete Hilbert transforms, the ...
Cerejeiras, Paula, Kähler, Uwe, Ku, Min, Sommen, Frank   +3 more
openaire   +3 more sources