Results 21 to 30 of about 405,847 (173)
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 +1 more source
Herz-Type Hardy Spaces Associated with Operators
Journal 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
Abstract 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
Journal 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
Boundedness for Commutators of Rough p-Adic Hardy Operator on p-Adic Central Morrey Spaces
Journal 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
Sharp estimates for the p-adic Hardy type operators on higher-dimensional product spaces
Journal of Inequalities and Applications, 2017 In this paper, we introduce the p-adic Hardy type operator and obtain its sharp bound on the p-adic Lebesgue product spaces. Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights.
Ronghui Liu, Jiang Zhou
doaj +1 more source
Martingale Morrey-Hardy and Campanato-Hardy Spaces
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 +2 more
doaj +1 more source
Hardy spaces of generalized analytic functions and composition operators
Concrete Operators, 2018 We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more
Pozzi Elodie
doaj +1 more source
$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the present work the space $L_{p;r} $ which is continuously embedded into $L_{p} $ is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied.
Ali Huseynli, Asmar Mirzabalayeva
doaj +1 more source
The Boundedness on Mixed Hardy Spaces
Journal of Function Spaces, 2020 The boundedness of operators on Hardy spaces is usually given by atomic decomposition. In this paper, we obtain the boundedness of singular integral operators in mixed Journé class on mixed Hardy spaces by a direct method.
Wei Ding, Meidi Qin, Yueping Zhu
doaj +1 more source