Results 11 to 20 of about 4,929,978 (372)
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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Characterizations of variable martingale Hardy spaces via maximal functions
Fractional Calculus and Applied Analysis, 2021 We introduce a new type of dyadic maximal operators and prove that under the log-Hölder continuity condition of the variable exponent p(⋅), it is bounded on Lp(⋅) if 1 < p− ≤ p+ ≤ ∞. Moreover, the space generated by the Lp(⋅)-norm (resp.
F. Weisz
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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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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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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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Weighted composition operators on Hardy–Smirnov spaces
Concrete Operators, 2022 Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
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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
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Interpolation and harmonic majorants in big Hardy-Orlicz spaces [PDF]
, 2006 Free interpolation in Hardy spaces is caracterized by the well-known Carleson condition. The result extends to Hardy-Orlicz spaces contained in the scale of classical Hardy spaces $H^p$, $p>0$.
A. G. Naftalevič +16 more
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Volterra integration operators from Hardy-type tent spaces to Hardy spaces
Journal of Inequalities and Applications, 2022 In this paper, we completely characterize the boundedness and compactness of the Volterra integration operators J g $J_{g}$ acting from the Hardy-type tent spaces HT q , α p ( B n ) to the Hardy spaces H t ( B n ) in the unit ball of C n for all 0 < p ...
Rong Hu, Chuan Qin, Lv Zhou
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Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces
AIMS Mathematics, 2023 In this note, we introduce the discrete (weak) central Morrey spaces, which are central versions of discrete (weak) Morrey spaces. The sharp bounds for discrete Hardy operator from discrete central Morrey spaces to discrete weak central Morrey spaces are
Mingquan Wei , Xiaoyu Liu
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