Results 11 to 20 of about 1,275,122 (296)

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

open access: yesJournal 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

open access: yesJournal 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

open access: yesCommunications 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
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Volterra integration operators from Hardy-type tent spaces to Hardy spaces

open access: yesJournal 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

open access: yesConcrete 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
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Mixed Martingale Hardy Spaces [PDF]

open access: yes, 2021
In this paper, we consider the martingale Hardy spaces defined with the help of the mixed Lp ->-norm. Five mixed martingale Hardy spaces will be investigated: Hp -> s, Hp -> S, Hp -> MPp -> and Qp ->.
Szarvas, Kristof, Weisz, Ferenc
core   +1 more source

ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
doaj   +1 more source

Herz-Type Hardy Spaces Associated with Operators

open access: yesJournal of Function Spaces, 2018
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
doaj   +1 more source

Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

open access: yesAbstract and Applied Analysis, 2014
We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce
Chaoqiang Tan
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Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . As a consequence, we obtain that any operator bounded from either
Xinfeng Wu
doaj   +1 more source

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