Results 41 to 50 of about 1,960 (141)
Fractional Maximal Functions in Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2013 We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni +3 more
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The maximal operator in weighted variable spaces Lp(⋅)
Journal of Function Spaces, Volume 5, Issue 3, Page 299-317, 2007., 2007 We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt‐type condition, which is narrower than the expected Muckenhoupt condition for variable exponent, but ...
Vakhtang Kokilashvili +3 more
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A quantitative approach to weighted Carleson condition
Concrete Operators, 2017 Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea [30, 31] for the operator are obtained. As a consequence, some sufficient conditions for the boundedness of Min the two weight setting in the spirit of the results obtained ...
Rivera-Ríos Israel P.
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Lp bounds for parametric Marcinkiewicz integrals with mixed homogeneity
, 2015 In this paper we consider the parametric Marcinkiewicz integrals with mixed homogeneity along certain compound surfaces. Under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction, the Lp ...
Daqing Zhang, Huo-xiong Wu, Feng Liu
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Weighted norm inequalities and indices
Journal of Function Spaces, Volume 4, Issue 1, Page 43-71, 2006., 2006 We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?p(w), ?p,8(w), Gp(w) and Gp,8(w).
Joaquim Martín +2 more
wiley +1 more source
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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Commutators for the maximal functions on Lebesgue spaces with variable exponent
, 2014 Let M be the Hardy-Littlewood maximal function, the commutator generated by M and a suitable function b is defined by [M,b] f = M(b f )−bM f . In this paper, the authors give some characterizations of b for which [M,b] is bounded on the Lebesgue spaces ...
Jiang-Long Wu, Pu Zhang
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Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces
Turkish Journal of Mathematics, 2019 where Γβ(x) = {(y, t) ∈ R + : |x− y| < βt}. Denote Gα,1(f) = Gα(f) . The intrinsic square functions were first introduced by Wilson in order to answer a conjecture proposed by Fefferman and Stein on the boundedness of the Lusin area function S on the ...
Xiao-mei Wu, Xiao Yu
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Strang‐Fix theory for approximation order in weighted Lp‐spaces and Herz spaces
Journal of Function Spaces, Volume 4, Issue 1, Page 7-24, 2006., 2006 In this paper, we study the Strang‐Fix theory for approximation order in the weighted Lp ‐spaces and Herz spaces.
Naohito Tomita, Hans G. Feichtinger
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Analysis and Geometry in Metric Spaces, 2023 Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui +2 more
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