Results 11 to 20 of about 12,719,951 (362)
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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Cones generated by a generalized fractional maximal function [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and ...
N.А. Bokayev +2 more
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Sparse bounds for the bilinear spherical maximal function [PDF]
Journal of the London Mathematical Society, 2022 We derive sparse bounds for the bilinear spherical maximal function in any dimension d⩾1$d\geqslant 1$ . When d⩾2$d\geqslant 2$ , this immediately recovers the sharp Lp×Lq→Lr$L^p\times L^q\rightarrow L^r$ bound of the operator and implies quantitative ...
Tainara Borges +4 more
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The multilinear spherical maximal function in one dimension [PDF]
Proceedings of the Edinburgh Mathematical Society, 2022 In dimension n = 1, we obtain $L^{p_1}(\mathbb R) \times\dots\times L^{p_m}(\mathbb R)$ to $L^p(\mathbb R)$ boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples that ...
Georgios Dosidis, João P. G. Ramos
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Sharp Lp bounds for the helical maximal function [PDF]
American Journal of Mathematics, 2021 :We establish the $L^p(\R^3)$ boundedness of the helical maximal function for the sharp range $p>3$. Our results improve the previous known bounds for $p>4$.
David Beltran +3 more
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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES
Проблемы анализа, 2022 We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal +3 more
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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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Centered Hardy-Littlewood maximal function on product manifolds
Advances in Nonlinear Analysis, 2022 Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
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Journal of New Theory, 2022 The theory of boundedness of classical operators of real analyses on Morrey spaces defined on Carleson curves has made significant progress in recent years as it allows for various applications.
Merve Esra Türkay
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Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces
Advanced Nonlinear Studies, 2023 Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
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