Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]
, 2014 In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
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Weyl Numbers of Embeddings of Tensor Product Besov Spaces [PDF]
, 2015 In this paper we investigate the asymptotic behaviour of Weyl numbers of embeddings of tensor product Besov spaces into Lebesgue spaces.
Nguyen, Van Kien, Sickel, Winfried
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Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Journal of Function Spaces, 2015 Let (X,d,μ) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen. The aim of this paper is to establish the boundedness of commutator Mb generated by the Marcinkiewicz integral M ...
Guanghui Lu, Shuangping Tao
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Bilinear multipliers of small Lebesgue spaces
TURKISH JOURNAL OF MATHEMATICS, 2021 Let $G$ be a locally compact abelian metric group with Haar measure $\lambda $ and $\hat{G}$ its dual with Haar measure $\mu ,$ and $\lambda ( G) $ is finite.
Öznur KULAK, A.Turan GÜRKANLI
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Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
Journal of Inequalities and Applications, 2018 Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
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Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces [PDF]
, 2019 We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition, and show that it is necessary and sufficient for the bilinear maximal ...
Cruz-Uribe, David +1 more
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On Variable Exponent Amalgam Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
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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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Multilinear strongly singular integral operators with generalized kernels and applications
AIMS Mathematics, 2021 In this paper, the authors study the boundedness properties of a class of multilinear strongly singular integral operator with generalized kernels on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces, respectively ...
Shuhui Yang, Yan Lin
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On compactness of Laplace and Stieltjes type transformations in Lebesgue spaces [PDF]
, 2011 We obtain criteria for integral transformations of Laplace and Stieltjes type to be compact on Lebesgue spaces of real functions on the ...
Ushakova, Elena P.
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