Results 31 to 40 of about 1,635 (99)
A boundedness result for Marcinkiewicz integral operator
Open Mathematics, 2020 We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
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The Riesz “rising sun” lemma for arbitrary Borel measures with some applications
Journal of Function Spaces, Volume 5, Issue 3, Page 319-331, 2007., 2007 The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak (1, 1) type inequality for the corresponding Hardy‐Littlewood maximal operator.
Lasha Ephremidze +3 more
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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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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
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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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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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Littlewood‐Paley characterization for Campanato spaces
Journal of Function Spaces, Volume 4, Issue 2, Page 193-220, 2006., 2006 The Littlewood‐Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α ≥ 0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey‐Campanato spaces L2,λ) for any α≥−n2.
Azzeddine El Baraka, Hans Triebel
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