Results 31 to 40 of about 21,477 (164)

Composition-Differentiation Operators on Derivative Hardy Spaces

Journal of Mathematics
We first explore conditions under which every weighted composition-differentiation operator on the Hardy space H1D is completely continuous. We then discuss necessary and sufficient conditions for these operators to be Hilbert–Schmidt on the derivative ...
A. Abkar, A. Babaei
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Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces

Journal of Function Spaces and Applications, 2010
In this article, we consider the Marcinkiewicz integrals with variable kernels defined by μΩ(f)(x)=(∫0∞|∫|x−y|≤tΩ(x,x−y)|x−y|n−1f(y)dy|2dtt3)1/2, where Ω(x,z)∈L∞(ℝn)×Lq(Sn−1) for q > 1.
Xiangxing Tao, Xiao Yu, Songyan Zhang
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Variable Anisotropic Hardy Spaces with Variable Exponents

Analysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
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Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

Open Mathematics
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
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Hardy-Littlewood theorem for series with general monotone coefficients

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
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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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Geometric Hardy and Bergman spaces. [PDF]

Michigan Mathematical Journal, 2000
This paper shows the relation between the generalized Hardy space and the geometric Hardy space. The authors first recall the properties of the geometric Bergman spaces on a complex manifold and then define the general bundle-valued Hardy spaces. After then, using the theory of Hardy spaces such as the Cayley transform, they establish the properties of
Bertram, Wolfgang, Hilgert, Joachim
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Characterization of p-Adic Mixed λ-Central Bounded Mean Oscillation Space via Commutators of p-Adic Hardy-Type Operators

Journal of Function Spaces
In this note, we define p-adic mixed Lebesgue space and mixed λ-central Morrey-type spaces and characterize p-adic mixed λ-central bounded mean oscillation space via the boundedness of commutators of p-adic Hardy-type operators on p-adic mixed Lebesgue ...
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman   +3 more
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On the dual space of a weighted Bergman space on the unit ball of Cn

International Journal of Mathematics and Mathematical Sciences, 1988
The weighted Bergman space Aαp(Bn ...
J. S. Choa, H. O. Kim
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Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces

Journal of Inequalities and Applications, 2016
In this paper, we establish some boundedness conditions for the multidimensional Hausdorff operator on the homogeneous Hardy-Morrey and on the Besov-Morrey space, and we extend some results in the recent papers by Jia and Wang, and by Mazzucato ...
Belay Mitiku Damtew
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