Oscillatory singular integrals on Hardy spaces associated with Herz spaces [PDF]
Proceedings of the American Mathematical Society, 1995 In this paper, it is proved that the oscillatory singular integral operators of nonconvolution type are bounded from Hardy spaces associated with Herz spaces to Herz spaces.
Lu, Shanzhen, Yang, Dachun
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Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications
Open Mathematics, 2023 In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
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On radial Fourier multipliers and almost everywhere convergence [PDF]
, 2014 We study a.e. convergence on $L^p$, and Lorentz spaces $L^{p,q}$, $p>\tfrac{2d}{d-1}$, for variants of Riesz means at the critical index $d(\tfrac 12-\tfrac 1p)-\tfrac12$.
Lee, Sanghyuk, Seeger, Andreas
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Equivalent norms of Herz-type Besov and Triebel-Lizorkin spaces
Journal of Function Spaces and Applications, 2005 In this paper the author obtains equivalent norms of Herz-type Besov and Triebel-Lizorkin spaces, which are generalizations of well-known Herz-type spaces and inhomogeneous Besov and Triebel-Lizorkin spaces.
Jingshi Xu
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Generalizations of Herz-Morrey spaces and boundedness of the Calderón-Zygmund operators
AIMS MathematicsIn this paper, we use the grand variable Herz-Morrey spaces, and our main objective is to prove the boundedness of multilinear Calderón-Zygmund operators on the product of grand variable Herz-Morrey spaces.
Ghada AlNemer +3 more
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Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents
Journal of Function Spaces, 2019 In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents.
Shengrong Wang, Jingshi Xu
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Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent
, 2013 In this paper, some boundedness for commutators of fractional integrals are obtained on Herz-Morrey spaces with variable exponent applying some properties of varible exponent and $\BMO$ function.Comment: In 2013, it is accepted by Kyoto Journal of ...
Wu, Jianglong
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New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
Journal of Function Spaces and Applications, 2012 The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
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ON SOME NEW ESTIMATES RELATED WITH BERGMAN BALL AND POISSON INTEGRAL IN TUBULAR DOMAIN AND UNIT BALL [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 We introduce new Herz type analytic spaces based on Bergman balls in tubular domains over symmetric cones and in products of such type domains. We provide for these Herz type spaces new maximal and embedding theorems extending known results in the unit ...
R. F. Shamoyan, O. R. Mihi´c
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Inclusion Properties of The Homogeneous Herz-Morrey Spaces With Variable Exponent
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, we have discussed about the inclusion properties of the homogeneous Herz-Morrey spaces with variable exponent and the weak homogeneous spaces with variable exponent. We also studied the inclusion relation between those spaces.
Hairur Rahman
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