Characterization of globally Lipschitzian composition operators in the Banach space
Janusz Matkowski; Nelson Merentes
Archivum Mathematicum (1992)
- Volume: 028, Issue: 3-4, page 181-186
- ISSN: 0044-8753
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topMatkowski, Janusz, and Merentes, Nelson. "Characterization of globally Lipschitzian composition operators in the Banach space ${\rm BV}_p^2[a,b]$." Archivum Mathematicum 028.3-4 (1992): 181-186. <http://eudml.org/doc/247327>.
@article{Matkowski1992,
abstract = {We give a characterization of the globally Lipschitzian composition operators acting in the space $BV_p^2[a,b]$},
author = {Matkowski, Janusz, Merentes, Nelson},
journal = {Archivum Mathematicum},
keywords = {Riesz space; bounded p-variation; globally Lipschitzian composition operator; superposition opertor; global Lipschitz condition},
language = {eng},
number = {3-4},
pages = {181-186},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Characterization of globally Lipschitzian composition operators in the Banach space $\{\rm BV\}_p^2[a,b]$},
url = {http://eudml.org/doc/247327},
volume = {028},
year = {1992},
}
TY - JOUR
AU - Matkowski, Janusz
AU - Merentes, Nelson
TI - Characterization of globally Lipschitzian composition operators in the Banach space ${\rm BV}_p^2[a,b]$
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 181
EP - 186
AB - We give a characterization of the globally Lipschitzian composition operators acting in the space $BV_p^2[a,b]$
LA - eng
KW - Riesz space; bounded p-variation; globally Lipschitzian composition operator; superposition opertor; global Lipschitz condition
UR - http://eudml.org/doc/247327
ER -
References
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- On a characterization of Lipschitzian operators of substitution in the space , Math. Nach. 117 (1984), 155-159. (1984) MR0755299
- On a characterization of Lipschitzian operators of substitution in the space of bounded Riesz -variation, Ann. Univ. Sci. Budapest. Sect. Math. (to appear). Zbl0808.47050MR1161510
- On the concept of bounded -variation of a function, Rend. Sem. Mat. Univ. Padova (submitted).
- Untersuchungen über systeme intergrierbarer functionen, Mathematische Annalen 69 (1910), 1449-1497. (1910)
- Convex functions, Academic Press, New York and London, 1973. MR0442824
- Sur la convergence des formules d’interpolation entre ordinées equidistances, Bull. Acad. Sci. Belg. (1908), 319-410. (1908)
Citations in EuDML Documents
top- Nelson Merentes, Sergio Rivas, On characterization of the Lipschitzian composition operator between spaces of functions of bounded -variation
- Francy Armao, Dorota Głazowska, Sergio Rivas, Jessica Rojas, Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu
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