Results 41 to 50 of about 4,962,888 (373)
Dual Spaces of Multiparameter Local Hardy Spaces
Journal of Function Spaces, 2021 In this paper, we study the duality theory of the multiparameter local Hardy spaces hpℝn1×ℝn2, and we prove that hpℝn1×ℝn2∗=cmopℝn1×ℝn2, where cmopℝn1×ℝn2 are defined by discrete Carleson measure.
Wei Ding, Feng Yu
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Contractive multipliers from Hardy space to weighted Hardy space [PDF]
Proceedings of the American Mathematical Society, 2017 It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.
Ball, Joseph A., Bolotnikov, Vladimir
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Sharp estimates for the p-adic Hardy type operators on higher-dimensional product spaces
Journal of Inequalities and Applications, 2017 In this paper, we introduce the p-adic Hardy type operator and obtain its sharp bound on the p-adic Lebesgue product spaces. Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights.
Ronghui Liu, Jiang Zhou
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Dual spaces of anisotropic mixed-norm Hardy spaces [PDF]
Proceedings of the American Mathematical Society, 2018 Let $\vec{a}:=(a_1,\ldots,a_n)\in[1,\infty)^n$, $\vec{p}:=(p_1,\ldots,p_n)\in(0,\infty)^n$ and $H_{\vec{a}}^{\vec{p}}(\mathbb{R}^n)$ be the anisotropic mixed-norm Hardy space associated with $\vec{a}$ defined via the non-tangential grand maximal function.
Long Huang +3 more
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Product Hardy Operators on Hardy Spaces [PDF]
Tokyo Journal of Mathematics, 2015 We study the product Hausdorff operator $H_{\Phi}$ on the product Hardy spaces, and prove that, for a nonnegative valued function $\Phi$, $H_{\Phi}$ is bounded on the product Hardy space $H^{1}(\mathbb{R}\times \mathbb{R})$ if and only if $\Phi$ is a Lebesgue integrable function on $(0,\infty)\times (0,\infty)$.
FAN, Dashan, ZHAO, Fayou
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Advanced Materials Technologies, EarlyView.A novel sample holder compatible with the Zeiss Lightsheet 7 microscope improves imaging of spheroids embedded in collagen matrices. By enabling dual‐sided illumination, it enhances image quality and quantitative analysis of migrating cells. This method advances 3D light sheet microscopy for studying tumor invasion and therapeutic responses.
Masoumeh Mohamadian Namaqi +5 more
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The Boundedness on Mixed Hardy Spaces
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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Operator valued Hardy spaces [PDF]
Memoirs of the American Mathematical Society, 2007 We give a systematic study on the Hardy spaces of functions with values in the non-commutative $L^p$-spaces associated with a semifinite von Neumann algebra ${\cal}M.$ This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on ...
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Weak Orlicz-Hardy Martingale Spaces [PDF]
, 2013 In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
core
UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces
, 2013 We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional derivatives.
Betancor, J. J. +2 more
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