Results 11 to 20 of about 74 (40)
Generic Hölder level sets and fractal conductivity [PDF]
Chaos, Solitons & Fractals, 2021 A BSTRACT . Hausdorff dimensions of level sets of generic continuous functions defined on fractals can give information about the “thickness/narrow cross-sections” of a “network” corresponding to a fractal set, F .
Z. Buczolich, B. Maga, G'asp'ar V'ertesy
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Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces [PDF]
Annales Fennici Mathematici, 2019 In this paper we strengthen to Morrey-Lorentz spaces the famous trace principle introduced by Adams. More precisely, we show that Riesz potential Iα is continuous ‖Iα f‖ M λ∗ q,∞(dμ) . ‖μ‖ 1/q β ‖ f‖Mλp,∞(dν) if and only if the Radon measure dμ supported
M. F. Almeida, Lidiane S. M. Lima
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Essential spectra of some matrix operators by means of measures of weak noncompactness
, 2014 In this paper, we give some results concerning stability in the Fredholm theory via the concept of measures of weak noncompactness. These results are exploited to investigate the essential spectra of some matrix operators on Banach spaces.
Boulbeba Abdelmoumen
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A Generalization of the Real Mean Value Inequality
, 2005 In dieser Arbeit wird eine Mittelwertungleichung für banachraumwertige Funktionen auf einem kompakten Intervall vorgestellt. Im Spezialfall reellwertiger Funktionen wurde diese Mittelwertungleichung bereits von Dale E.
Rosenberger, B. (Burkard)
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Hausdorff Dimensions of Self-Similar and Self-Affine Fractals in the Heisenberg Group
, 2017 We study the Hausdorff dimensions of invariant sets for self-similar and self-affine iterated function systems in the Heisenberg group. In our principal result we obtain almost sure formulae for the dimensions of self-affine invariant sets, extending to ...
Tyson, Jeremy T., Balogh, Zoltán M.
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The Equivalence Of Some Bernoulli Convolutions To Lebesgue Measure
, 1997 . Since the 1930's many authors have studied the distribution of the random series Y = P \Sigma n where the signs are are chosen independently with probability (1=2; 1=2) and 0 ! ! 1. Solomyak (1995) proved that for almost every 2 [ 1 2 ;
R. Daniel Mauldin, Károly Simon
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Fubini-Type Theorems for General Measure Constructions
, 2007 . We use methods from descriptive set theory to derive Fubini-like results for the very general Method I and Method II (outer) measure constructions. Such constructions, which often lead to non-oe-finite measures, include Carath'eodory and Hausdorff-
R. Daniel Mauldin, K. J. Falconer
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Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
, 2005 We investigate the energy of arrangements of N points on a rectifiable d-dimensional manifold A ⊂ Rd ′ that interact through the power law (Riesz) potential V = 1/rs, where s> 0 and r is Euclidean distance in Rd ′.
D. P. Hardin, E. B. Saff
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, 1998 . We consider a regular infinite hyperbolic iterated function satisfying a property which guarantees that the associated Frobenius-Perron operator L is almost periodic. For such a system there is a unique invariant probablility measure ¯ supported on J ,
Daniel Mauldin
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Online at stacks.iop.org/Non/17/1455 DOI: 10.1088/0951-7715/17/4/017
, 2004 We consider the iterated function systems (IFSs) that consist of three general similitudes in the plane with centres at three non-collinear points, with a common contraction factor λ ∈ (0, 1). As is well known, for λ = 1 2 the attractor, Sλ, is a fractal
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