Results 51 to 60 of about 82,240 (178)
Journal of Mathematical SciencesTraditional Lp spaces are fundamental in functional analysis, demarcated by the relationship $1/p + 1/q = 1$. This research pioneers the concept of $\theta$-Lebesgue space, stemming from a simultaneous weakening of both the classical $L_p$ relation and its $\theta$-variant, $1/(\theta(p)) + 1/(\theta(q)) = 1$.
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Norm convolution inequalities in Lebesgue spaces [PDF]
Revista Matemática Iberoamericana, 2018 We obtain upper and similar lower estimates of the ( L_p, L_q ) norm for the convolution operator. The upper estimate improves on known convolution inequalities.
Nursultanov E. +2 more
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Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
Journal of Function Spaces, 2022 In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis +2 more
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Boundedness of composition operators on Morrey spaces and weak Morrey spaces
Journal of Inequalities and Applications, 2021 In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on the boundedness of the composition operator ...
Naoya Hatano +3 more
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A Bernstein type inequality associated with wavelet bi-frame decomposition
Journal of Inequalities and Applications, 2016 Bernstein inequality is an essential inequality for Besov spaces. Smoothness based approaches are widely used in establishing the inequality. Yet, despite numerous studies over the last two decades, there is still little research focusing on decay-based ...
Kai-Cheng Wang +3 more
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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Estimates for Parameter Littlewood-Paley gκ⁎ Functions on Nonhomogeneous Metric Measure Spaces
Journal of Function Spaces, 2016 Let (X,d,μ) be a metric measure space which satisfies the geometrically doubling measure and the upper doubling measure conditions. In this paper, the authors prove that, under the assumption that the kernel of Mκ⁎ satisfies a certain Hörmander-type ...
Guanghui Lu, Shuangping Tao
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A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
J Dyn Differ Equ, 2023 Chapouto A.
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Cpmposed Grand Lebesgue Spaces
, 2011 In this article we introduce and investigate a new class of rearrangement invariant (r.i.) Banach function spaces, so-called Composed Grand Lebesgue Spaces (CGLS), in particular, Integral Grand Lebesgue Spaces (IGLS), which are some generalizations of known Grand Lebesgue Spaces (GLS). We consider the fundamental functions of CGLS, calculate its Boyd's
Ostrovsky, E., Sirota, L.
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Well-posedness of generalized magnetohydrodynamic equations in variable Lebesgue spaces
Electronic Journal of Differential EquationsThis article concerns the well-posedness of the generalized magnetohydrodynamic equations in variable Lebesgue spaces. By using some basic properties of variable Lebesgue spaces and decay estimates of the fractional heat kernel, we prove the existence ...
Jinyi Sun, Yuanwei Mai, Minghua Yang
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