Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type
, 2020 Let (X , d, μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors establish a complete real-variable theory of Musielak–Orlicz Hardy spaces on (X , d, μ).
Xing Fu, T. Ma, Dachun Yang
semanticscholar +1 more source
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
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces [PDF]
, 2020 In this paper we characterize subsequences of Fejer means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all ...
L. Persson, G. Tephnadze, G. Tutberidze
semanticscholar +1 more source
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
A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type [PDF]
Journal of Fourier Analysis and Applications, 2018 Let $$(X,d,\mu )$$(X,d,μ) be a space of homogeneous type, with the upper dimension $$\omega $$ω, in the sense of Coifman and Weiss. Assume that $$\eta $$η is the smoothness index of the wavelets on X constructed by Auscher and Hytönen.
Ziyi He +5 more
semanticscholar +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
Real-variable characterizations of Orlicz-slice Hardy spaces [PDF]
Analysis and Applications, 2018 In this paper, the authors first introduce a class of Orlicz-slice spaces which generalize the slice spaces recently studied by Auscher et al. Based on these Orlicz-slice spaces, the authors then introduce a new kind of Hardy-type spaces, the Orlicz ...
Yangyang Zhang +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
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