C¹ MEASURE RESPECTING MAPS PRESERVE BV IFF THEY HAVE BOUNDED DERIVATIVE

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

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Author(s)

Ferruccio COLOMBINI
Tao LUO
Jeffrey RAUCH

Detail(s)

Original language	English
Pages (from-to)	159–163
Journal / Publication	Methods and Applications of Analysis
Volume	18
Issue number	2
Publication status	Published - Jun 2011
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.4310/MAA.2011.v18.n2.a2 Final Published version
	Check@CityULib
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(27b0605f-8601-4e6c-933d-8d885dd34953).html

Abstract

If Ω_j ∈ R^d (d ≥ 2) are bounded open subsets and Φ ∈ C¹ (Ω₁ ; Ω₂) respects Lebesgue measure and satisfies F ◦ Φ ∈ BV (Ω₁) for all F ∈ BV (Ω₂) then Φ is uniformly Lipschitzean.

Research Area(s)

C1 measure respecting maps, BV regularity, Uniformly Lipschitzean

Citation Format(s)

[ RIS ] [ BibTeX ]

C¹ MEASURE RESPECTING MAPS PRESERVE BV IFF THEY HAVE BOUNDED DERIVATIVE. / COLOMBINI, Ferruccio; LUO, Tao; RAUCH, Jeffrey.

In: Methods and Applications of Analysis, Vol. 18, No. 2, 06.2011, p. 159–163.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

COLOMBINI, F, LUO, T & RAUCH, J 2011, 'C¹ MEASURE RESPECTING MAPS PRESERVE BV IFF THEY HAVE BOUNDED DERIVATIVE', Methods and Applications of Analysis, vol. 18, no. 2, pp. 159–163. https://doi.org/10.4310/MAA.2011.v18.n2.a2

COLOMBINI, F., LUO, T., & RAUCH, J. (2011). C¹ MEASURE RESPECTING MAPS PRESERVE BV IFF THEY HAVE BOUNDED DERIVATIVE. Methods and Applications of Analysis, 18(2), 159–163. https://doi.org/10.4310/MAA.2011.v18.n2.a2

COLOMBINI F, LUO T, RAUCH J. C¹ MEASURE RESPECTING MAPS PRESERVE BV IFF THEY HAVE BOUNDED DERIVATIVE. Methods and Applications of Analysis. 2011 Jun;18(2):159–163. doi: 10.4310/MAA.2011.v18.n2.a2

COLOMBINI, Ferruccio ; LUO, Tao ; RAUCH, Jeffrey. / C¹ MEASURE RESPECTING MAPS PRESERVE BV IFF THEY HAVE BOUNDED DERIVATIVE. In: Methods and Applications of Analysis. 2011 ; Vol. 18, No. 2. pp. 159–163.