Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1038.28013
Burton, G. R.; Douglas, R. J.
Uniqueness of the polar factorisation and projection of a vector-valued mapping. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 405-418 (2003). ISSN 0294-1449

The authors study the polar factorization of integrable vector-valued functions. First, it is shown that there are integrable functions which have no polar factorizations. Further, it is proved the uniqueness of the polar factorization when it exists. Finally, it is given a relation between polar factorizations and measure-preserving mappings.
[Sophia L. Kalpazidou (Thessaloniki)]

MSC 2000:: *28D05 Measure-preserving transformations
46E40 Spaces of vector-valued functions
49J45 Optimal control problems inv. semicontinuity and convergence
28A50 Integration and disintegration of measures

Keywords: polar factorisation; monotone rearrangement; measure-preserving mappings; $L^2$-projection

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]