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Author Citations for Jan Vybíral

Jan Vybíral is cited 534 times by 368 authors

in the MR Citation Database

Most Cited Publications
Citations Publication
47 MR2984372 Kempka, Henning; Vybíral, Jan Spaces of variable smoothness and integrability: characterizations by local means and ball means of differences. J. Fourier Anal. Appl. 18 (2012), no. 4, 852–891. 46E35 (42B35)
46 MR2231066 (2007d:46030) Vybiral, Jan Function spaces with dominating mixed smoothness. Dissertationes Math. 436 (2006), 73 pp. (Reviewer: Amiran Gogatishvili) 46E35 (42B35)
43 MR3219222 Kempka, Henning; Vybíral, Jan Lorentz spaces with variable exponents. Math. Nachr. 287 (2014), no. 8-9, 938–954. (Reviewer: Juha K. Kinnunen) 46E30 (42B25)
34 MR2432104 (2009f:41034) Vybíral, Jan Widths of embeddings in function spaces. J. Complexity 24 (2008), no. 4, 545–570. (Reviewer: Maria A. Ragusa) 41A46 (41A45 46E35)
33 MR2553811 (2010m:46053) Vybíral, Jan Sobolev and Jawerth embeddings for spaces with variable smoothness and integrability. Ann. Acad. Sci. Fenn. Math. 34 (2009), no. 2, 529–544. (Reviewer: Alexandre Almeida) 46E35
28 MR3068973 Kempka, Henning; Vybíral, Jan A note on the spaces of variable integrability and summability of Almeida and Hästö. Proc. Amer. Math. Soc. 141 (2013), no. 9, 3207–3212. (Reviewer: Masaharu Kobayashi) 46E35
26 MR2898783 Fornasier, Massimo; Schnass, Karin; Vybiral, Jan Learning functions of few arbitrary linear parameters in high dimensions. Found. Comput. Math. 12 (2012), no. 2, 229–262. (Reviewer: Jürgen Müller) 65D15 (41A63 60B20 60G50 68Q30)
22 MR2432556 (2009d:41023) Hinrichs, Aicke; Novak, Erich; Vybíral, Jan Linear information versus function evaluations for L2-approximation. J. Approx. Theory 153 (2008), no. 1, 97–107. (Reviewer: George Chailos) 41A25
18 MR3229143 Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 8, 1297–1323. (Reviewer: Douadi Drihem) 46E35 (26B35 42B35 46B70)
17 MR2408037 (2009d:46068) Vybíral, Jan A new proof of the Jawerth-Franke embedding. Rev. Mat. Complut. 21 (2008), no. 1, 75–82. (Reviewer: Susana D. Moura) 46E35 (42B99)
17 MR2902295 Sickel, Winfried; Skrzypczak, Leszek; Vybiral, Jan On the interplay of regularity and decay in case of radial functions I. Inhomogeneous spaces. Commun. Contemp. Math. 14 (2012), no. 1, 1250005, 60 pp. (Reviewer: Joaquim Martín) 46E35 (26B35)
15 MR3748601 Ullrich, Mario; Vybíral, Jan An upper bound on the minimal dispersion. J. Complexity 45 (2018), 120–126. (Reviewer: Thomas Jahn) 52B55
14 MR2371992 (2009e:41033) Vybíral, Jan Sampling numbers and function spaces. J. Complexity 23 (2007), no. 4-6, 773–792. (Reviewer: Marcello Sanguineti) 41A25 (41A46 46E35)
13 MR2640796 (2011c:46070) Hansen, Markus; Vybíral, Jan The Jawerth-Franke embedding of spaces with dominating mixed smoothness. Georgian Math. J. 16 (2009), no. 4, 667–682. (Reviewer: Natasha Samko) 46E35 (42B35 46E30)
13 MR3392489 Mayer, Sebastian; Ullrich, Tino; Vybíral, Jan Entropy and sampling numbers of classes of ridge functions. Constr. Approx. 42 (2015), no. 2, 231–264. (Reviewer: Jan Lang) 41A63 (46E35 65D05 65D15)
12 MR3166520 Vybíral, Jan Weak and quasi-polynomial tractability of approximation of infinitely differentiable functions. J. Complexity 30 (2014), no. 2, 48–55. (Reviewer: Petru P. Blaga) 41A63 (41A46 65D15 65Y20)
11 MR2816938 (2012h:15055) Hinrichs, Aicke; Vybíral, Jan Johnson-Lindenstrauss lemma for circulant matrices. Random Structures Algorithms 39 (2011), no. 3, 391–398. (Reviewer: Ronald L. Smith) 15B05 (60E15)
11 MR3695893 Hinrichs, Aicke; Prochno, Joscha; Vybíral, Jan Entropy numbers of embeddings of Schatten classes. J. Funct. Anal. 273 (2017), no. 10, 3241–3261. (Reviewer: Joedson Silva Santos) 47B10
10 MR2550178 (2010j:46074) Vybíral, Jan On sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case. Proc. Amer. Math. Soc. 138 (2010), no. 1, 141–146. (Reviewer: Leszek Skrzypczak) 46E35
10 MR2747016 (2011j:60026) Vybíral, Jan A variant of the Johnson-Lindenstrauss lemma for circulant matrices. J. Funct. Anal. 260 (2011), no. 4, 1096–1105. (Reviewer: Sasha Sodin) 60B20 (15B05)
8 MR2527756 (2010j:46065) Vybíral, Jan On dilation operators and sampling numbers. J. Funct. Spaces Appl. 6 (2008), no. 1, 17–46. (Reviewer: Marcello Sanguineti) 46E30 (41A25 41A46 42B25)
8 MR3382101 Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan A survey of compressed sensing. Compressed sensing and its applications, 1–39, Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, 2015. (Reviewer: Simon Foucart) 94A12
7 MR3010019 Schneider, Cornelia; Vybíral, Jan Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces. J. Funct. Anal. 264 (2013), no. 5, 1197–1237. (Reviewer: José Luis Ansorena) 46E35 (42B25)
6 MR2590330 (2011c:46078) Schneider, Cornelia; Vybíral, Jan On dilation operators in Triebel-Lizorkin spaces. Funct. Approx. Comment. Math. 41 (2009), part 2, 139–162. ISBN: 978-83-232-2081-7 46E35 (42B35)
6 MR4082494 Vybíral, Jan A variant of Schur's product theorem and its applications. Adv. Math. 368 (2020), 107140, 9 pp. (Reviewer: José-Javier Martínez) 15B48 (65F99)
5 MR2490478 (2010c:46086) Skrzypczak, Leszek; Vybíral, Jan Corrigendum to the paper: "On approximation numbers of Sobolev embeddings of weighted function spaces'' [J. Approx. Theory 136 (2005) 91–107] [MR2165121]. J. Approx. Theory 156 (2009), no. 1, 116–119. 46E35 (47B06)
5 MR2861256 (2012k:93009) Fornasier, M.; Haškovec, J.; Vybíral, J. Particle systems and kinetic equations modeling interacting agents in high dimension. Multiscale Model. Simul. 9 (2011), no. 4, 1727–1764. (Reviewer: Joseph D. Lakey) 93A14 (35F25 65P99 93B11)
5 MR3539354 Hinrichs, Aicke; Kolleck, Anton; Vybíral, Jan Carl's inequality for quasi-Banach spaces. J. Funct. Anal. 271 (2016), no. 8, 2293–2307. (Reviewer: Sophie Grivaux) 46B20 (47A10 94A15)
5 MR4264806 Hinrichs, Aicke; Krieg, David; Novak, Erich; Vybíral, Jan Lower bounds for the error of quadrature formulas for Hilbert spaces. J. Complexity 65 (2021), Paper No. 101544, 20 pp. 65D30 (11K38 15A69 41A55 46E22)
4 MR2793862 (2012g:65038) Hinrichs, Aicke; Vybíral, Jan On positive positive-definite functions and Bochner's Theorem. J. Complexity 27 (2011), no. 3-4, 264–272. (Reviewer: Ulrich D. Jentschura) 65D30 (43A35 65Y20)
4 MR3913578 Hinrichs, Aicke; Prochno, Joscha; Ullrich, Mario; Vybíral, Jan The minimal k-dispersion of point sets in high dimensions. J. Complexity 51 (2019), 68–78. 65Y20 (11K45 52C10 65D18)
3 MR2307145 (2007m:46053) Vybíral, Jan Optimal Sobolev embeddings on Rn. Publ. Mat. 51 (2007), no. 1, 17–44. (Reviewer: Maria A. Ragusa) 46E35 (46E30 46E39)
3 MR2357589 (2008m:42038) Vybíral, Jan; Sickel, Winfried Traces of functions with a dominating mixed derivative in R3. Czechoslovak Math. J. 57(132) (2007), no. 4, 1239–1273. (Reviewer: Maria A. Ragusa) 42B35 (46E35)
3 MR3325521 Kolleck, Anton; Vybíral, Jan On some aspects of approximation of ridge functions. J. Approx. Theory 194 (2015), 35–61. (Reviewer: M. M. Pahirya) 65D15 (41A25 68Q30 94A12)
3 MR3753168 Gonçalves, Helena F.; Kempka, Henning; Vybíral, Jan Franke-Jawerth embeddings for Besov and Triebel-Lizorkin spaces with variable exponents. Ann. Acad. Sci. Fenn. Math. 43 (2018), no. 1, 187–209. (Reviewer: Mario Milman) 42B35 (46E35)
2 MR2274153 (2008a:46037) Vybíral, Jan A diagonal embedding theorem for function spaces with dominating mixed smoothness. Funct. Approx. Comment. Math. 33 (2005), 101–120. (Reviewer: Jan Lang) 46E35
2 MR4149175 Kossaczká, Marta; Vybíral, Jan Entropy numbers of finite-dimensional embeddings. Expo. Math. 38 (2020), no. 3, 319–336. (Reviewer: Konrad J. Swanepoel) 47B06 (41A46 46B07)
2 MR4297193 Hinrichs, Aicke; Prochno, Joscha; Vybíral, Jan Gelfand numbers of embeddings of Schatten classes. Math. Ann. 380 (2021), no. 3-4, 1563–1593. (Reviewer: Julio Delgado) 47B10 (46B06 46B20 46B28 47B06 68Q25)
2 MR4270762 Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid Robust and resource efficient identification of shallow neural networks by fewest samples. Inf. Inference 10 (2021), no. 2, 625–695. 68T07 (62D99 90C30)
2 MR4438175 Hinrichs, Aicke; Krieg, David; Novak, Erich; Vybíral, Jan Lower bounds for integration and recovery in L2. J. Complexity 72 (2022), Paper No. 101662, 15 pp. 65D05 (41A25 46E22 46E35 65D30)
2 MR4444155 Ullrich, Mario; Vybíral, Jan Deterministic constructions of high-dimensional sets with small dispersion. Algorithmica 84 (2022), no. 7, 1897–1915. 68U05 (05C48)
1 MR2312089 (2008d:31009) Vybíral, Jan A remark on better λ-inequality. Math. Inequal. Appl. 10 (2007), no. 2, 335–341. (Reviewer: A. È. Djrbashian) 31B15 (42B20)
1 MR2734452 (2011g:42037) Hencl, Stanislav; Malý, Jan; Pick, Luboš; Vybíral, Jan Weak estimates cannot be obtained by extrapolation. Expo. Math. 28 (2010), no. 4, 375–377. 42B25 (46B70)
1 MR2889287 Schneider, Cornelia; Vybíral, Jan Homogeneity property of Besov and Triebel-Lizorkin spaces. J. Funct. Spaces Appl. 2012, Art. ID 281085, 17 pp. (Reviewer: Douadi Drihem) 46E35 (42B35)
1 MR3330617 Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan The characterization of radial subspaces of Besov and Lizorkin-Triebel spaces by differences. Function spaces X, 197–214, Banach Center Publ., 102, Polish Acad. Sci. Inst. Math., Warsaw, 2014. (Reviewer: João Pedro Boto) 46E35 (42B35)
1 MR3688039 Kolleck, Anton; Vybíral, Jan Non-asymptotic analysis of 1-norm support vector machines. IEEE Trans. Inform. Theory 63 (2017), no. 9, 5461–5476. 94A12
1 MR3666999 Kempka, Henning; Vybíral, Jan Volumes of unit balls of mixed sequence spaces. Math. Nachr. 290 (2017), no. 8-9, 1317–1327. (Reviewer: Krzysztof Piszczek) 46A45 (26B15 33B15)
1 MR4030411 Tyagi, Hemant; Vybiral, Jan Learning general sparse additive models from point queries in high dimensions. Constr. Approx. 50 (2019), no. 3, 403–455. (Reviewer: Klaus Meer) 41A63 (41A25 62J99 65D15 94A20)
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