Results 51 to 60 of about 4,440 (181)
Journal of Inequalities and Applications, 2007 We give the L2 estimates for the Marcinkiewicz integral with rough variable kernels associated to surfaces. More precisely, we give some other sufficient conditions which are different from the conditions known before to warrant that the L2-boundedness ...
Kôzô Yabuta, Qingying Xue
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Analysis and Geometry in Metric Spaces, 2022 Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui +2 more
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Metric entropy, n-widths, and sampling of functions on manifolds
, 2017 We first investigate on the asymptotics of the Kolmogorov metric entropy and nonlinear n-widths of approximation spaces on some function classes on manifolds and quasi-metric measure spaces. Secondly, we develop constructive algorithms to represent those
Ehler, Martin, Filbir, Frank
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Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
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Legislative Studies Quarterly, Volume 51, Issue 1, February 2026.ABSTRACT This article examines the effect of electoral system reform on legislative speech‐making by Members of Parliament (MPs), focusing on the case of Denmark's 1918 shift from single‐member districts (SMD) to proportional representation (PR) in elections to the lower chamber.
Martin Ejnar Hansen
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Mathematics, 2022 This paper is devoted to exploring the mapping properties for the commutator μΩ,b generated by Marcinkiewicz integral μΩ with a locally integrable function b in the generalized Campanato spaces on the generalized Morrey spaces.
Fuli Ku, Huoxiong Wu
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Dixmier traces and some applications to noncommutative geometry
, 2006 This is a survey of some recent advances in the theory of singular traces in which the authors have played some part and which were inspired by questions raised by the book of Alain Connes (Noncommutative Geometry, Academic Press 1994).
Carey, A. L., Sukochev, F. A.
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On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
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Lp-Mapping Properties of a Class of Spherical Integral Operators
Axioms, 2023 In this paper, we study a class of spherical integral operators IΩf. We prove an inequality that relates this class of operators with some well-known Marcinkiewicz integral operators by using the classical Hardy inequality. We also attain the boundedness
Laith Hawawsheh +4 more
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The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
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