Abstract
The Sard lemma on ℝn states that if D ⊂ ℝn is open and T is a continuously differentiable function from D to ℝn, set
then the Lebesgue measure of E 0 is zero. This result is useful in many applications as it often avoids the need to consider what happens on E 0. In [96], J.T. Schwartz presented the following generalization of this result:
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Üstünel, A.S., Zakai, M. (2000). The Sard Inequality. In: Transformation of Measure on Wiener Space. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13225-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-13225-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08572-7
Online ISBN: 978-3-662-13225-8
eBook Packages: Springer Book Archive