LEBESGUE AREA AND DEGIORGI PERIMETER OF THE BOUNDARY OF A TOPOLOGICAL BALL IN R n

1981 ◽  
Vol 7 (1) ◽  
pp. 42
Author(s):  
NISHIURA
Keyword(s):  
1958 ◽  
Vol 8 (3) ◽  
pp. 613-620
Author(s):  
Paul Slepian
Keyword(s):  

1956 ◽  
Vol 6 (2) ◽  
pp. 363-372 ◽  
Author(s):  
Edward Silverman
Keyword(s):  

1952 ◽  
Vol 2 (2) ◽  
pp. 243-250 ◽  
Author(s):  
Edward Silverman
Keyword(s):  

Author(s):  
E. R. Reifenberg

1. In this paper I investigate the tangential properties of parametric surfaces, leading to the main result that the Lebesgue area is the Hausdorff two-dimensional measure of the set of points of the surface where an approximate tangential plane exists.


1981 ◽  
Vol 28 (3) ◽  
pp. 359-367
Author(s):  
C. Goffman ◽  
T. Nishiura

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