The Kolmogorov–Riesz compactness theorem

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Hanche-Olsen, Harald, and Helge Holden. “The Kolmogorov–Riesz Compactness Theorem”. Expositiones Mathematicae, vol. 28, no. 4, 2010, pp. 385-94, https://doi.org/10.1016/j.exmath.2010.03.001.
Hanche-Olsen, H., & Holden, H. (2010). The Kolmogorov–Riesz compactness theorem. Expositiones Mathematicae, 28(4), 385-394. https://doi.org/10.1016/j.exmath.2010.03.001
Hanche-Olsen, Harald, and Helge Holden. “The Kolmogorov–Riesz Compactness Theorem”. Expositiones Mathematicae 28, no. 4 (2010): 385-94. https://doi.org/10.1016/j.exmath.2010.03.001.
Hanche-Olsen H, Holden H. The Kolmogorov–Riesz compactness theorem. Expositiones Mathematicae. 2010;28(4):385-94.
Refrences
Title Journal Journal Categories Citations Publication Date
Selection principle for pointwise bounded sequences of functions Mathematical Notes
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2008
On a nonlinear compactness lemma in Lp(0,T;B) International Journal of Mathematics and Mathematical Sciences
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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2003
Compactness criteria in function spaces Colloquium Mathematicum
  • Science: Mathematics
11 2002
Compact sets in the space Lp(0,T;B) 1987
Compactness in translation invariant Banach spaces of distributions and compact multipliers Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1984
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Bulletin of the American Mathematical Society and Journal of Mathematical Analysis and Applications. The chart below illustrates the number of referenced publications per year.
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Citations
Title Journal Journal Categories Citations Publication Date
Compactness Criteria for Stieltjes Function Spaces and Applications

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Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively Journal of Functional Analysis
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Strong solutions of a semilinear impulsive pseudoparabolic equation with an infinitesimal initial layer Journal of Mathematical Analysis and Applications
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EXISTENCE OF WEAK SOLUTIONS TO THE BGK EQUATION AND AN APPROXIMATE CONSERVATION LAWS WITH LARGE INITIAL DATA Journal of Applied Analysis & Computation
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Pego theorem on compact groups Pacific Journal of Mathematics
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Citations Analysis
The category Science: Mathematics 103 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Time-frequency concentration of generating systems and was published in 2011. The most recent citation comes from a 2024 study titled Pego theorem on compact groups. This article reached its peak citation in 2023, with 20 citations. It has been cited in 85 different journals, 5% of which are open access. Among related journals, the Journal of Functional Analysis cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year