Results 21 to 30 of about 337,654 (135)
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 Let L = −Δ + V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHq(ℝn) with q > n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood ...
Li Yang, Pengtao Li, Andrea Scapellato
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Two‐dimensional metric spheres from gluing hemispheres
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3069-3102, December 2022., 2022 Abstract We study metric spheres (Z,dZ)$(Z, d_{Z} )$ obtained by gluing two hemispheres of S2$\mathbb {S}^{2}$ along an orientation‐preserving homeomorphism g:S1→S1$g \colon \mathbb {S}^{1} \rightarrow \mathbb {S}^{1}$, where dZ$d_{Z}$ is the canonical distance that is locally isometric to S2$\mathbb {S}^{2}$ off the seam. We show that if (Z,dZ)$(Z, d_{
Toni Ikonen
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Let (X, d, μ) be a metric measure space endowed with a metric d and a non‐negative Borel doubling measure μ. Let L be a non‐negative self‐adjoint operator on L2(X). Assume that the (heat) kernel associated to the semigroup e−tL satisfies a Gaussian upper bound.
Jiawei Shen +3 more
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Haar null and Haar meager sets: a survey and new results
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 561-619, August 2020., 2020 Abstract We survey results about Haar null subsets of (not necessarily locally compact) Polish groups. The aim of this paper is to collect the fundamental properties of the various possible definitions of Haar null sets, and also to review the techniques that may enable the reader to prove results in this area.
Márton Elekes, Donát Nagy
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On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]
, 2002 summary:Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Racca, Abraham +5 more
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Dynamic games with (almost) perfect information
Theoretical Economics, Volume 15, Issue 2, Page 811-859, May 2020., 2020 This paper aims to solve two fundamental problems on finite‐ or infinite‐horizon dynamic games with complete information. Under some mild conditions, we prove the existence of subgame‐perfect equilibria and the upper hemicontinuity of equilibrium payoffs in general dynamic games with simultaneous moves (i.e., almost perfect information), which go ...
Wei He, Yeneng Sun
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Egoroff’s Theorem and Lusin’s Theorem for Capacities in the Framework of g‐Expectation
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In the classical real analysis theory, Egoroff’s theorem and Lusin’s theorem are two of the most important theorems. The σ‐additivity of measures plays a crucial role in the proofs of these theorems. Later, many researchers have carried out lots of studies on Egoroff’s theorem and Lusin’s theorem when the measure is monotone and nonadditive (see, e.g.,
Zhaojun Zong +3 more
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Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to establish the intrinsic square function characterizations in terms of the intrinsic Littlewood–Paley g‐function, the intrinsic Lusin area function, and the intrinsic gλ∗‐function of the variable Hardy–Lorentz space Hp(⋅),q(ℝn), for p(⋅) being a measurable function on ℝn satisfying 0
Khedoudj Saibi, Huy Qui Bui
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Lusin’s theorem for derivatives with respect to a continuous function [PDF]
Proceedings of the American Mathematical Society, 1999 For a nowhere constant continuous function g g on a real interval
AVERSA, VINCENZO LIBERO, PREISS D.
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Lusin's Theorem and Bochner Integration
, 2004 To appear in Scientiae Mathematicae ...
Loeb, Peter A., Talvila, Erik
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