Mathematics at OSU Marion


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Mathematical Research of Dr. Jan Lang

My research is in

A selection of recent papers:

  1. 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.
  2. Lang, J. Estimates for $n$-widths of the Hardy-type operators. Addendum to: "Improved estimates for the approximation numbers of Hardy-type operators" [J. Approx. Theory 121 (2003), no. 1, 61--70; MR1962996]. J. Approx. Theory 140 (2006), no. 2, 141--146.
  3. Lang, J.; Méndez, 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
  4. 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.
  5. Lang, J.; Mendez, O.; Nekvinda, A. Asymptotic behavior of the approximation numbers of the Hardy-type operator from $L\sp p$ into $L\sp q$. JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 1, Article 18, 36 pp. (electronic).
  6. Edmunds, D. E.; Lang, J. Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. J. Funct. Anal. 206 (2004), no. 1, 149--166.
  7. Lang, J. Improved estimates for the approximation numbers of Hardy-type operators. J. Approx. Theory 121 (2003), no. 1, 61--70.
  8. Edmunds, D. E.; Kerman, R.; Lang, J. Remainder estimates for the approximation numbers of weighted Hardy operators acting on $L\sp 2$. J. Anal. Math. 85 (2001), 225--243.
  9. Evans, W. D.; Harris, D. J.; Lang, J. The approximation numbers of Hardy-type operators on trees. Proc. London Math. Soc. (3) 83 (2001), no. 2, 390--418.
  10. Lang, Jan; Nekvinda, Ale\v s; Rákosník, Ji\v rí Continuous norms and absolutely continuous norms in Banach function spaces are not the same. Real Anal. Exchange 26 (2000/01), no. 1, 345--364.
  11. Harris, Desmond J.; Lang, Jan Approximation numbers of Hardy-type operators on trees. Function spaces, differential operators and nonlinear analysis (Pudasjärvi, 1999), 113--124, Acad. Sci. Czech Repub., Prague, 2000.
  12. Gogatishvili, A.; Lang, J. The generalized Hardy operator with kernel and variable integral limits in Banach function spaces. J. Inequal. Appl. 4 (1999), no. 1, 1--16
  13. Edmunds, D. E.; Lang, J.; Nekvinda, A. On $L\sp {p(x)}$ norms. R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 455 (1999), no. 1981, 219--225.
  14. Lang, Jan; Pick, Lubo\v s The Hardy operator and the gap between $L\sp \infty$ and BMO. J. London Math. Soc. (2) 57 (1998), no. 1, 196--208
  15. Evans, W. D.; Harris, D. J.; Lang, J. Two-sided estimates for the approximation numbers of Hardy-type operators in $L\sp \infty$ and $L\sp 1$. Studia Math. 130 (1998), no. 2, 171--192.
  16. Kawohl, Bernd; Lang, Jan Are some optimal shape problems convex? J. Convex Anal. 4 (1997), no. 2, 353--361.
  17. Lang, Jan; Nekvinda, Ale\v s A difference between continuous and absolutely continuous norms in Banach function spaces. Czechoslovak Math. J. 47(122) (1997), no. 2, 221--232.
  18. Krbec, M.; Lang, J. Imbeddings between weighted Orlicz-Lorentz spaces. Georgian Math. J. 4 (1997), no. 2, 117--128. (Reviewer: Abdelmoujib Benkirane)
  19. Lang, J.; Nekvinda, A. Traces of a weighted Sobolev space in a singular case. Czechoslovak Math. J. 45(120) (1995), no. 4, 639--657.