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ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman ...
R. F. Shamoyan, S.P. Maksakov
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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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Hardy operators and the commutators on Hardy spaces [PDF]
Journal 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
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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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On the Generalized Hardy Spaces [PDF]
Abstract and Applied Analysis, 2010 We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.
M. Fatehi
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The Boundedness on Mixed Hardy Spaces [PDF]
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
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Journal of Fourier Analysis and Applications, 2014 The authors summarize the contents of this paper in the abstract as follows: 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 transforms, the ...
Cerejeiras, Paula +3 more
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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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