Results 11 to 20 of about 120,151 (274)
Journal of Fourier Analysis and Applications, 2014 We study the boundary behavior of discrete monogenic functions, i.e. null-solutions of a discrete Dirac operator, in the upper and lower half space. Calculating the Fourier symbol of the boundary operator we construct the corresponding discrete Hilbert ...
Cerejeiras, Paula +2 more
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Weighted Calderón-Hardy spaces [PDF]
Mathematica BohemicaWe present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
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Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]
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
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Bicomplex Weighted Hardy Spaces and Bicomplex C*-algebras
Advances in Applied Clifford Algebras, 2015 In this paper we study the bicomplex version of weighted Hardy spaces. Further, we describe reproducing kernels for the bicomplex weighted Hardy spaces. In particular, we generalize some results which holds for the classical weighted Hardy spaces.
Kumar, Romesh +3 more
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, 2012 We develop the theory of variable exponent Hardy spaces. Analogous to the classical theory, we give equivalent definitions in terms of maximal operators.
Cruz-Uribe, David +2 more
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Journal of Functional Analysis, 2008 The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L^1 and some results about interpolation between these spaces and the Lebesgue ...
Bernicot, Frédéric, Zhao, Jiman
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New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
Integral 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
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Journal 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
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Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces
Journal 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
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Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane
Communications 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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