Geometric Measure Theory : Gross and Favard m-dimensional measurements

Gross and Favard m-dimensional measurements
Geometric Measure Theory

Author : Jean-Charles PINOLI

Publication date: April 10, 2016 | Lire en français

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15. Gross and Favard m-dimensional measurements

15.1 Gross's m-dimensional measurement

Definition (Gross's m-dimensional measure) (1918). The m-dimensional measure (m is a natural number such that 0 < m < n for n > 1) known as Gross's m-dimensional measure and denoted $μ_{G}_{n}^{m}$ , is defined on a Borellian subset X of $ℝ^{n}$ by (

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Bibliography

(1) - ALBERTI (G.) - Geometric measure theory. - Encyclopedia of Mathematical Physics, Vol. 2, pp. 520-527 (J.-P. Françoise et al, eds), Elsevier (2006).
(2) - AMBROSIO (L.), CAPASSO (V.), VILLA (E.) - On the approximation...

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Gross and Favard m-dimensional measurements Geometric Measure Theory

15. Gross and Favard m-dimensional measurements

15.1 Gross's m-dimensional measurement

Bibliography

Gross and Favard m-dimensional measurements
Geometric Measure Theory