Aleš Nekvinda - Publications

Papers in Journals

• [1] A. Nekvinda and L. Zajíček: A simple proof of Rademacher theorem. Časopis pro pěstování matematiky, 113, no. 4, (1988), 337--341
• [2] A. Nekvinda and L. Pick: A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^p_{\varepsilon,M}$. Comment. Math. Univ. Carolinae 29, no. 1 (1988), 63-71
• [3] A. Nekvinda and L. Pick: On traces on the weighted Sobolev spaces $H^{1,p}_{\varepsilon,M}$. Funct. Approx. Comment. Math. 20 (1992), 143-151
• [4] A. Nekvinda: Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega,d^{\varepsilon}_{M})$ on $M$. Czechoslovak Math. J. 43, no. 4 (1993), 695-711
• [5] A. Nekvinda: Decomposition of the weighted Sobolev space $W^{1,p}(\Omega,d^{\varepsilon}_{M})$ and its traces. Czechoslovak Math. J. 43, no. 4 (1993), 713-722
• [6] J. Lang and A. Nekvinda: Traces of a weighted Sobolev space in a singular case. Czechoslovak Math. J. 45,4 (1995), 639-657
• [7] J. Lang and A. Nekvinda: A difference between continuous and absolutely continuous norms in Banach function spaces. Czechoslovak Math. J. 47, no. 2 (1997), 221-232
• [8] D. E. Edmunds, J. Lang and A. Nekvinda: On $L^{p(x)}$ norms. Proc. R. Soc. Lond. A. 445,1981 (1999), 219-225
• [9] J. Lang, A. Nekvinda and J. Rákosník: Continuous norms and absolutely continuous norms in Banach function spaces are not the same. Real Anal. Exch. 26, no. 1 (2001), 345-364
• [10] D. E. Edmunds and A. Nekvinda: Averaging operators on $l^{\{p_n\}}$ and $L^{p(x)}$. Math. Inequal. Appl. 5,2 (2002), 235-246
• [11] A. Nekvinda: Equivalence of $\ell^{\{p_n\}}$ norms and shift operators. Math. Inequal. Appl. 5, no. 4 (2002), 711-723
• [12] A. Nekvinda and L. Zajíček: G\^ ateaux differentiability of Lipschitz functions via directional derivatives. Real Anal. Exch. 18, no. 4 (2002-2003), 287-320
• [13] J. Lang, O. Mendez and A. Nekvinda: Asymptotic behavior of the approximation numbers of the Hardy-type operator from $L^p$ into $L^q$ ( 1< q \le 2, 2\le p \le q < \infty \mbox{ and } 1<p\le 2 \le q < \infty$). J. Inequal. Pure Appl. Math. 5,1 (2004), elektronická forma na adrese http://jipam.vu.edu.au/article.php?sid=370
• [14] A. Nekvinda: Hardy-Littlewood maximal operator on $L^{p(x)}(\mathbb{R}^n)$. Math. Inequal. Appl. 7, no. 2 (2004), 255-265
• [15] A. Nekvinda and L. Zajíček: Extensions of real and vector functions of one variable which preserve differentiability. Real Anal. Exch. 30, no. 2, 2004/2005, 435-450
• [16] A. Nekvinda: Imbeddings between discrete weighted Lebesgue spaces. Math. Inequal. Appl. 10, no. 1 (2007), 165-172
• [17] A. Nekvinda: A note on maximal operator on $\ell^{\{p_n\}}$ and $L^{p(x)}(\mathbb{R})$. J. Funct. Spaces Appl. 5, no. 1 (2007), 49-88,
• [18] P. Gurka, P. Harjulehto and A. Nekvinda: Bessel potential space with variable exponent. Math. Inequal. Appl. 10, no. 3 (2007), 661-676
• [19] A. Nekvinda: Maximal operator on variable Lebesgue spaces for almost monotone radial exponent. Journal of Mathematical Analysis and Applications 337, no. 2 (2008), 1345-1365
• [20] D. E. Edmunds, J. Lang and A. Nekvinda: Some $s-$numbers of an integral operator of Hardy type on $L^{p(.)}$ spaces. Journal of Functional analysis 257, no. 1, 2009
• [21] A. Nekvinda and L. Pick: Optimal estimates for the Hardy averaging operator. Math. Nachr. 283, no. 2 (2010), 262-271
• [22] A. Nekvinda : A note on one-sided maximal operator in $L^{p(.)}(\mathbb{R})$. Mathematical Inequalities and Applications 13, no.4 (2010), 887-897
• [23] A. Nekvinda and O. Zindulka: A Cantor set in the plane that is not $\sigma$-monotone . Fundamenta Mathematica 213, (2011), 221-232
• [24] A. Nekvinda and L. Pick : Duals of optimal spaces for the Hardy averaging operator. Z. Anal. Anwend., 30, (2011), 435-456
• [25] A. Nekvinda and O. Zindulka: Monotone metric spaces . Order: Volume 29, Issue 3 (2012), Page 545-558
• [26] Y. Mizuta, A. Nekvinda and T. Shimomura : Hardy averaging operator on generalized Banach function spaces and duality . Z. Anal. Anwend. 32, no. 2 (2013), Page 233-255
• [27] A. Nekvinda, D. Pokorný and V. Vlasák : Some results on monotone metric spaces. J. Math. Anal. Appl. 413, no 2 (2014), 999-1016
• [28] O. Zindulka, M. Hrušák, T. Mátrai, A. Nekvinda and V. Vlasák : Properties of functions with monotone graphs. Acta Math. Hungar. 142, no 1 (2014), 1-30
• [29] Y. Mizuta, A. Nekvinda and T. Shimomura : Optimal estimates for the fractional Hardy operator. Studia Math. 227, no. 1 (2015), 1-19
• [30] D. E. Edmunds, J. Lang and A. Nekvinda : Estimates of s-numbers of a Sobolev embedding involving spaces of variable exponent. J. Math. Anal. Appl. 430, no. 2 (2015), 1088–1101
• [31] Michal Beneš, Aleš Nekvinda and Manoj Kumar Yadav : Multi-time-step Domain Decomposition Method with Non-matching Grids for Parabolic Problems. Appl. Math. Comput. 267, (2015), 571–582
• [32] Aleš Nekvinda: A Cantor set in the plane and its monotone subsets. Acta Mathematica Hungarica 148, no. 1 (2016), 43-55
• [33] David E. Edmunds and A. Nekvinda: Characterisation of zero trace functions in variable exponent Sobolev spaces . Math. Nachr. 209, no. 14-15 (2017), 2247–2258
• [34] David E. Edmunds and A. Nekvinda: Characterisation of zero trace functions in higher-order spaces of Sobolev type . J. Math. Anal. Appl. 459, no. 2 (2018), 879–892
• [35] Y. Mizuta, A. Nekvinda and T. Shimomura: Optimal estimates for the fractional Hardy operator on variable exponent Lebesgue spaces .  Math. Inequal. Appl. 22, no. 2 (2019),
  445–462
• [36] L. Aizenberg, E. Liflyand and A. Nekvinda: Dual complements for domains of $\mathbb{C}^n$. Math. Inequal. Appl. 22, no. 2 (2019), 553–564
• [37] A. Nekvinda: Maximal operator on variable Lebesgue spaces with radial exponent. J. Math. Anal. Appl. 477 (2019), no. 2, 961–986
• [38] A. Fiorenza, A. Gogatishvili, A. Nekvinda, J. M. Rakotoson: Remarks on compactness results for variable exponent spaces $L^{p(·)}$. J. Math.Pures Appl. 157 (2022), 136–144
• [39] D. E. Edmunds, A. Gogatishvili and A. Nekvinda: Almost-compact and compact embeddings of variable exponent spaces. Studia Math. 268 (2023), no 2, 187–211
• [40] J. Lang and A. Nekvinda: Embeddings between Lorenz sequence spaces are strictly but not finitely strictly singular. Studia Math. 272 (2023), no. 1, 35-57
• [41] A. Nekvinda and H. Turčinová: Characterization of functions with zero traces via the distance function and Lorentz spaces.  J. Math. Anal. Appl. 529 (2024), no 2, 28 pp

Recent preprints

• [42] A. Nekvinda and D. Peša: On the properties of quasi-Banach function spaces. submitted
• [43] L. Gaynutdinová, M. Ladecký, A. Nekvinda, Ivana Pultarová and J. Zeman: Efficient numerical method for reliable upper and lower bounds on homogenized parameters. submitted
• [44] J. Lang and A. Nekvinda and D. Peša: Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity. submitted

Proceedengs of conferences

• [45] L. Diening, P. Hasto and A. Nekvinda: Open problems in variable exponent Lebesgue and Sobolev spaces. FSDONA 2004 Proceedings of the conference held in Milovy, May 27 - June 2, 2004, Mathematical Institute AS CR, Praha 2005

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