On characterization of the Lipschitzian composition operator between spaces of functions of bounded -variation

Nelson Merentes; Sergio Rivas

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 4, page 627-637
  • ISSN: 0011-4642

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Merentes, Nelson, and Rivas, Sergio. "On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation." Czechoslovak Mathematical Journal 45.4 (1995): 627-637. <http://eudml.org/doc/31505>.

@article{Merentes1995,
author = {Merentes, Nelson, Rivas, Sergio},
journal = {Czechoslovak Mathematical Journal},
keywords = {Nemytskij operator; Lipschitz condition},
language = {eng},
number = {4},
pages = {627-637},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation},
url = {http://eudml.org/doc/31505},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Merentes, Nelson
AU - Rivas, Sergio
TI - On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$-variation
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 4
SP - 627
EP - 637
LA - eng
KW - Nemytskij operator; Lipschitz condition
UR - http://eudml.org/doc/31505
ER -

References

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  1. On characterization of Lipschitzian operators of substitution in the class of Hölder functions, Sci. Bul. Łódz Technical Univ. 17 (1984), 81–85. (1984) Zbl0599.46032MR0790842
  2. Remark on globally Lipschitzian composition operators, . 
  3. Form of Lipschitz operators of substitution in Banach spaces of differentiable functions, Sci. Bull. Łódz Technical Univ. 17 (1984), 5–10. (1984) Zbl0599.46031MR0790835
  4. Functional equation and Nemytskii operator, Funkcialaj Ekvacioj 25 (1982), 127–132. (1982) MR0694906
  5. Characterization of globally Lipschitzian composition operators in the Banach space , Archivum Math. 28 (1992), 181–186. (1992) MR1222285
  6. 10.1002/mana.3211170111, Math. Nachr. 117 (1984), 155–159. (1984) MR0755299DOI10.1002/mana.3211170111
  7. On a characterization of Lipschitzian operators of substitution in the space of bounded Reisz -variation, Annales Univ. Sci. Budapest 34 (1991), 139–144. (1991) MR1161510
  8. 10.1007/BF01457637, Math. Annalen 69 (1910), 449–497. (1910) MR1511596DOI10.1007/BF01457637
  9. Composition of Sobolev functions and application, Notas de Matemáticas, Univ. Los Andes, Venezuela 86 (1987), 1–25. (1987) MR0939808

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