## Jan Lang – Publications

### Published:

Books:

[B1] D.E.Edmunds and J.Lang, Eigenvalues, Embeddings and Generalised Trigonometric Functions. Lecture Notes in Mathematics 2016, Springer, (2011), pages 220

Papers:

[29] D.E.Edmunds and J. Lang, Coincidence and calculation of some strict s-numbers. Journal for Analysis and its Applications. (accepted on 4/2011).

[28] D.E.Edmunds and J. Lang, Coincidence of strict s-numbers of weighted Hardy operators. Journal of Mathematical Analysis and Applications, (accepted on 3/2011).

[27] P.Gurka and J.Lang, Double-exponential embeddings of logarithmic spaces. Math. Nachr. (accepted on 1/2011).

[26] D.E.Edmunds and J. Lang, The j-eigenfunctions and s-numbers. Math. Nachr. 283 (2010), no. 3, 463--477.

[25] D.E. Edmunds and J. Lang, Generalizing trigonometric functions from different points of view.  Progresses in Mathematics, Physics and Astronomy (Pokroky MFA), vol 4, 2009, (in czech).

[24]    Edmunds, D. E.; Lang, J.; Nekvinda, A. Some $s$-numbers of an integral operator of Hardy type on $L^{p(.)}$ spaces. J. Funct. Anal. 257 (2009), no. 1, 219--242.

[23]    Lang, J.; Maz'ya, V. Essential norms and localization moduli of Sobolev embeddings for general domains. J. Lond. Math. Soc. (2) 78 (2008), no. 2, 373--391.

[22]    Edmunds, D. E.; Lang, J. Asymptotics for eigenvalues of a non-linear integral system. Boll. Unione Mat. Ital. (9) 1 (2008), no. 1, 105--119.

[21]    Edmunds, D. E.; Lang, J. Operators of Hardy type. J. Comput. Appl. Math. 208 (2007), no. 1, 20--28.

[20]    Brown, B. M.; Lang, J.; Lewis, R. T. Preface [Special issue: 65th birthday of Prof. Desmond Evans]. J. Comput. Appl. Math. 208 (2007), no. 1, 1--2.

[19]    Edmunds, D. E.; Lang, J. Bernstein widths of Hardy-type operators in a non-homogeneous case. J. Math. Anal. Appl. 325 (2007), no. 2, 1060--1076.

[18]    Lang, J. Estimates for $n$-widths of the Hardy-type operators. J. Approx. Theory 140 (2006), no. 2, 141--146.

[17]    Lang, J.; Mendez, O. Potential techniques and regularity of boundary value problems in exterior non-smooth domains: regularity in exterior domains. Potential Anal. 24 (2006), no. 4, 385--406. [dvi], [ps], [pdf]

[16]    Edmunds, D. E.; Lang, J. Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Math. Nachr. 279 (2006), no. 7, 727--742.

[15]    J. Lang, O. Mendez and A. Nekvinda, Asymptotic behavior of the approximation numbers of the Hardy-type operator from $L^p$ into $L^q$ (cases $1<p \le q \le 2$, $2 \lep \le q< \infty$ and $1<p \le 2 \le q < \infty$).  JIPAM. J. Inequal. Pure Appl. Math.  5  (2004),  no. 1, Article 18, 36 pp., [dvi], [ps], [pdf]

[14]    J. Lang, Improved Estimates for the Approximation Numbers of Hardy-Type Operator. Journal of Approximation Theory, 121 (2003), no.1, 61--70, [tex], [dvi], [ps], [pdf]

[13]    D.E. Edmunds, J. Lang, Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case, Journal of Functional Analysis, 206 (2004), 149--166, [tex], [dvi], [ps], [pdf]

[12]    D.E. Edmunds, R. Kerman and J. Lang, Remainder estimates for the approximation numbers of weighted Hardy operators acting on $L\sp 2$. Journal d'Analyse Mathe'matique 85 (2001), 225--243, [tex], [dvi], [ps], [pdf]

[11]    J. Lang, A. Nekvinda and J. Rakosnik, Extreme difference between continuous norm and absolutely continuous norm in Banach function spaces, Real Analysis Exchange 26 (2000/01) no.1, 345--364, [tex], [dvi], [ps], [pdf]

[10]    W.D. Evans, D.J. Harris and J. Lang, The approximation numbers of Hardy-type operators on trees, Proceedings of the London Mathematical Society, (3) 83 (2001), no. 2, 390--418, [tex], [dvi], [ps], [pdf]

[9]    D.J. Harris and J. Lang, Approximation numbers of Hardy-type operators on trees, Function spaces, differential operators and nonlinear analysis (Pudasjarvi, 1999), 2000, 113--124, [tex], [dvi], [ps], [pdf]

[8]    A. Gogatishvili and J. Lang, The generalized Hardy operator with kernel and variable integral limits in Banach function spaces, Journal of Inequalities and Applications, 4 (1999), 1--16, [tex], [dvi], [ps], [pdf]

[7]    W.D. Evans, D.J. Harris and J. Lang, Two--sided estimates for the approximation numbers of Hardy--type operators in $L^{\infty}$ and $L^1$, Studia Mathematica, 130 (1998), 171--192, [tex], [dvi], [ps], [pdf]

[6]    D.E. Edmunds, J. Lang and A. Nekvinda, On $L^{p(x)}$ norms, The Royal Society of London, Proceedings , Series A. Mathematical, Physical and Engineering Sciences, 455 (no.1982) (1999), 219--225, [tex], [dvi] ,[ps], [pdf]

[5]    J. Lang and L. Pick, The Hardy operator and the gap between $L^{\infty}$ and BMO , Journal of the London Mathematical Society, Second Series, (2) 57 (1998), 196--208, [tex], [dvi], [ps], [pdf]

[4]    J. Lang and A. Nekvinda, A difference between the continuous and the absolutely continuous norms in Banach function spaces, Czechoslovak Mathematical Journal, 47 (122), (1997), 221--232, [tex], [dvi], [ps], [pdf]

[3]    M. Krbec and J. Lang, Imbeddings between weighted Orlicz--Lorentz spaces, Georgian Mathematical Journal, 4 (1997), 117--128,

[2]    B. Kawohl and J. Lang, Are some optimal shape problems convex ?, Journal of Convex Analysis, 4 (1997), No. 2, 1--9, [tex], [dvi], [ps], [pdf]

[1]    J. Lang and A. Nekvinda, Trace of weighted Sobolev spaces in a~singular case, Czechoslovak Mathematical Journal, 45 (1995), 639--657, [tex]

Last change: October, 4/2011