Results 31 to 40 of about 4,929,978 (372)
On the inconsistency of the Bohm-Gadella theory with quantum mechanics [PDF]
, 2006 The Bohm-Gadella theory, sometimes referred to as the Time Asymmetric Quantum Theory of Scattering and Decay, is based on the Hardy axiom. The Hardy axiom asserts that the solutions of the Lippmann-Schwinger equation are functionals over spaces of Hardy ...
Bohm A +17 more
core +2 more sources
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
Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type [PDF]
Mathematische Nachrichten, 2019 Let (X,d,μ) be a space of homogeneous type, with upper dimension μ, in the sense of R. R. Coifman and G. Weiss. Let η be the Hölder regularity index of wavelets constructed by P. Auscher and T. Hytönen.
Ziyi He, Dachun Yang, Wen Yuan
semanticscholar +1 more source
Dual spaces of anisotropic mixed-norm Hardy spaces [PDF]
Proceedings of the American Mathematical Society, 2018 Let $\vec{a}:=(a_1,\ldots,a_n)\in[1,\infty)^n$, $\vec{p}:=(p_1,\ldots,p_n)\in(0,\infty)^n$ and $H_{\vec{a}}^{\vec{p}}(\mathbb{R}^n)$ be the anisotropic mixed-norm Hardy space associated with $\vec{a}$ defined via the non-tangential grand maximal function.
Long Huang +3 more
semanticscholar +1 more source
Hardy-type spaces and Hardy-type inequalities
AIMS MathematicsIn the present paper, we defined and then studied Hardy spaces related to spherical mean operators. We proved Hardy-type inequalities, then we showed refined Sobolev-type inequalities between homogeneous Riesz-type spaces, homogeneous Besov-type spaces ...
Saifallah Ghobber, Hatem Mejjaoli
doaj +1 more source
Variable exponent Hardy spaces associated with discrete Laplacians on graphs
, 2017 In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions.
Almeida, Víctor +3 more
core +1 more source
Product Hardy Operators on Hardy Spaces [PDF]
Tokyo Journal of Mathematics, 2015 We study the product Hausdorff operator $H_{\Phi}$ on the product Hardy spaces, and prove that, for a nonnegative valued function $\Phi$, $H_{\Phi}$ is bounded on the product Hardy space $H^{1}(\mathbb{R}\times \mathbb{R})$ if and only if $\Phi$ is a Lebesgue integrable function on $(0,\infty)\times (0,\infty)$.
FAN, Dashan, ZHAO, Fayou
openaire +2 more sources
A new approach to norm inequalities on weighted and variable Hardy spaces [PDF]
Annales Academiae Scientiarum Fennicae: Mathematica, 2019 We give new proofs of Hardy space estimates for fractional and singular integral operators on weighted and variable exponent Hardy spaces. Our proofs consist of several interlocking ideas: finite atomic decompositions in terms of $L^\infty$ atoms, vector-
D. Cruz-Uribe, Kabe Moen, H. Nguyen
semanticscholar +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
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
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