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 +3 more
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Some estimates of Hardy operators and their commutators on Morrey-Herz spaces
, 2017 In this paper, we study the boundedness of p -adic Hardy operators H p and H p,∗ on the p -adic Morrey-Herz space. Furthermore, we establish the Lipschitz estimates for commutators of p -adic Hardy operators H p b and H p,∗ b on the p -adic function ...
G. Gao, Y. Zhong
semanticscholar +1 more source
Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces
Analysis and Geometry in Metric Spaces, 2017 We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
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Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces
, 2016 We establish the Hardy-Littlewood-Pólya inequality, the Hardy inequality and the Hilbert inequality on block spaces. Furthermore, we also have the boundedness of the Hausdorff operators on block spaces.
K. Ho
semanticscholar +1 more source
HARDY OPERATORS IN THE LOCAL ``COMPLEMENTARY" GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES
, 2020 In this paper we consider local “complementary” generalized weighted Morrey spaces M p(·),ω,φ {x0} (Ω) with variable exponent p(x) and a general function ω(r) defining the weighted Morrey-type norm.
Z. O. Azizova
semanticscholar +1 more source
Variation inequalities related to Schrödinger operators on weighted Morrey spaces
Open Mathematics, 2019 This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
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BMO solutions to quasilinear equations of $p$-Laplace type [PDF]
arXiv, 2021 We give necessary and sufficient conditions for the existence of a BMO solution to the quasilinear equation $-\Delta_{p} u = \mu$ in $\mathbb{R}^n$, $u\ge 0$, where $\mu$ is a locally finite Radon measure, and $\Delta_{p}u= \text{div}(|\nabla u|^{p-2}\nabla u)$ is the $p$-Laplacian ($p>1$). We also characterize BMO solutions to equations $-\Delta_{p}
arxiv
Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces
, 2017 On generalized martingale Morrey spaces we give necessary and sufficient conditions for the boundedness of generalized fractional integrals as martingale transforms. Mathematics subject classification (2010): 60G46, 60G42, 46E30, 42B35.
E. Nakai, Gaku Sadasue
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Generalized Strichartz Inequalities for the Wave Equation on the Laguerre Hypergroup [PDF]
, 2004 Mathematics Subject Classification: 42B35, 35L35, 35K35In this paper we study generalized Strichartz inequalities for the wave equation on the Laguerre hypergroup using generalized homogeneous Besov-Laguerre type ...
Assal, Miloud, Ben Abdallah, Hacen
core
Hausdorff operators on the weighted Herz-type Hardy spaces
, 2016 In this paper, we study the high-dimensional Hausdorff operators on the weighted Herz-type Hardy spaces and obtain some substantial extensions from the previous results in [3].
Jianmiao Ruan, D. Fan
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