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Relevant bibliographies by topics / Besicovitch Norm

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Academic literature on the topic 'Besicovitch Norm'

Author: Grafiati

Published: 13 July 2024

Last updated: 31 July 2025

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Journal articles on the topic "Besicovitch Norm"

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Boulahia, Fatiha, and Slimane Hassaine. "Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm." Opuscula Mathematica 41, no. 5 (2021): 629–48. http://dx.doi.org/10.7494/opmath.2021.41.5.629.

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In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the Amemiya norm in this space are also discussed.

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LUCAS, ALAIN. "Hausdorff–Besicovitch measure for random fractals of Chung's type." Mathematical Proceedings of the Cambridge Philosophical Society 133, no. 3 (2002): 487–513. http://dx.doi.org/10.1017/s0305004102005984.

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Let {W(t):t [ges ] 0} denote a Wiener process, and set [Sscr ] for the unit ball of the reproducing kernel Hilbert space pertaining to the restriction of W on [0,1], with Hilbert norm [mid ] · [mid ]H. Gorn and Lifshits [8] have shown that, whenever f ∈ [Sscr ] fulfills [mid ] f [mid ]H = 1 and has Lebesgue derivative of bounded variation, the rate of clustering of (2h log(1/h))−½(W(t + h·) − W(t)) to f is of the order O((log(1/h))−2/3. In this paper, we show that the set of exceptional points in [0,1] where this rate is reached constitutes a random fractal whose Hausdorff–Besicovitch measure

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3

Picardello, Massimo A. "Function Spaces with BoundedLpMeans and Their Continuous Functionals." Abstract and Applied Analysis 2014 (2014): 1–26. http://dx.doi.org/10.1155/2014/609525.

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This paper studies typical Banach and complete seminormed spaces of locally summable functions and their continuous functionals. Such spaces were introduced long ago as a natural environment to study almost periodic functions (Besicovitch, 1932; Bohr and Fölner, 1944) and are defined by boundedness of suitableLpmeans. The supremum of such means defines a norm (or a seminorm, in the case of the full Marcinkiewicz space) that makes the respective spaces complete. Part of this paper is a review of the topological vector space structure, inclusion relations, and convolution operators. Then we expa

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Morsli, Mohamed, and Fazia Bedouhene. "On the uniform convexity of the Besicovitch–Orlicz space of almost periodic functions with Orlicz norm." Colloquium Mathematicum 102, no. 1 (2005): 97–111. http://dx.doi.org/10.4064/cm102-1-9.

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Slimane, Hassaine, and Boulahia Fatiha. "Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm." Commentationes Mathematicae Universitatis Carolinae 62, no. 1 (2021): 67–79. http://dx.doi.org/10.14712/1213-7243.2021.007.

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Bedouhene, Fazia, and Mohamed Morsli. "On the k-convexity of the Besicovitch–Orlicz space of almost periodic functions with the Orlicz norm." Colloquium Mathematicum 109, no. 1 (2007): 107–18. http://dx.doi.org/10.4064/cm109-1-9.

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LUCAS, A., and E. THILLY. "Hausdorff–Besicovitch measure of fractal functional limit laws induced by Wiener process in Hölder norms." Annales de l'Institut Henri Poincare (B) Probability and Statistics 42, no. 3 (2006): 373–92. http://dx.doi.org/10.1016/j.anihpb.2005.06.001.

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8

Hussain, Mumtaz, and Benjamin Ward. "A note on limsup sets of annuli." Mathematika 71, no. 3 (2025). https://doi.org/10.1112/mtk.70023.

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AbstractWe consider the set of points in infinitely many max‐norm annuli centred at rational points in . We give Jarník–Besicovitch‐type theorems for this set in terms of Hausdorff dimension. Interestingly, we find that if the outer radii are decreasing sufficiently slowly, dependent only on the dimension , and the thickness of the annuli is decreasing rapidly, then the dimension of the set tends towards . We also consider various other forms of annuli including rectangular annuli and quasi‐annuli described by the difference between balls of two different norms. Our results are deduced through

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Daoui, A., M. Morsli, and M. Smaali. "On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm." Commentationes Mathematicae 53, no. 2 (2013). http://dx.doi.org/10.14708/cm.v53i2.786.

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Dissertations / Theses on the topic "Besicovitch Norm"

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Saba, Chadi. "Le problème de Littlewood et les séries de Fourier non-harmoniques." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0122.

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Nous étudions les polynômes trigonométriques à la fois dans le cadre harmonique et non-harmonique (non-périodique). Plus précisément, nous nous intéressons aux bornes inférieures au sens de la norme L1 et de la norme B1 (de Besicovitch) de ces polynômes. D’abord, nous considérons les polynômes trigonométriques avec des fréquences quadratiques et des coefficients complexes. Nous étendons ainsi les résultats précédents sur les polynômes ayant seulement zéro ou un comme coefficients. Pour les polynômes à coefficients monotones et uniformément bornés, nous obtenons une minoration de la norme L1 pa

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