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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   +4 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   +3 more sources

Variable Hardy Spaces [PDF]

, 2012
We develop the theory of variable exponent Hardy spaces. Analogous to the classical theory, we give equivalent definitions in terms of maximal operators.
Cruz-Uribe, David, SFO, Wang, Li-An Daniel   +2 more
core   +2 more sources

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

Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

Journal of Function Spaces, 2022
Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
doaj   +1 more source

Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces

Journal of Inequalities and Applications, 2023
By using the rotation method, a sharp bound for an n-dimensional Hardy operator on mixed radial-angular central Morrey spaces is obtained. Furthermore, a sharp weak-type estimate for an n-dimensional Hardy operator on mixed radial-angular central Morrey ...
Mingquan Wei, Dunyan Yan
doaj   +1 more source

Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane

Communications in Advanced Mathematical Sciences, 2020
Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
doaj   +1 more source

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   +1 more source

Volterra integration operators from Hardy-type tent spaces to Hardy spaces

Journal of Inequalities and Applications, 2022
In this paper, we completely characterize the boundedness and compactness of the Volterra integration operators J g $J_{g}$ acting from the Hardy-type tent spaces HT q , α p ( B n ) to the Hardy spaces H t ( B n ) in the unit ball of C n for all 0 < p ...
Rong Hu, Chuan Qin, Lv Zhou
doaj   +1 more source

Weighted composition operators on Hardy–Smirnov spaces

Concrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +1 more source