Results 11 to 20 of about 119,766 (277)

New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators

open access: yesIntegral Equations and Operator Theory, 2013
We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg, and ...
Ky, Luong Dang
core   +2 more sources

Mixed Martingale Hardy Spaces [PDF]

open access: yesThe Journal of Geometric Analysis, 2020
AbstractIn this paper, we consider the martingale Hardy spaces defined with the help of the mixed $$L_{\overrightarrow{p}}$$ L p → -norm. Five mixed martingale Hardy spaces will be investigated:
Szarvas, Kristof, Weisz, Ferenc
openaire   +3 more sources

Interpolation and harmonic majorants in big Hardy-Orlicz spaces [PDF]

open access: yes, 2006
Free interpolation in Hardy spaces is caracterized by the well-known Carleson condition. The result extends to Hardy-Orlicz spaces contained in the scale of classical Hardy spaces $H^p$, $p>0$.
A. G. Naftalevič   +16 more
core   +5 more sources

Hardy operators and the commutators on Hardy spaces

open access: yesJournal 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   +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

Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

open access: yesJournal 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   +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 Commutators of Rough p-Adic Hardy Operator on p-Adic Central Morrey Spaces

open access: yesJournal of Function Spaces, 2021
In the present article we obtain the boundedness for commutators of rough p-adic Hardy operator on p-adic central Morrey spaces. Furthermore, we also acquire the boundedness of rough p-adic Hardy operator on Lebesgue spaces.
Naqash Sarfraz   +2 more
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
doaj   +1 more source

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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