๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Kinematic spaces with dilatations

โœ Scribed by Helmut Karzel; Carlton J. Maxson


Book ID
112499133
Publisher
Springer
Year
1984
Tongue
English
Weight
291 KB
Volume
22
Category
Article
ISSN
0047-2468

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Spaces of kinematic type
โœ R. I. Pimenov ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 564 KB
Linear spaces of kinematic type
โœ V. R. Krym ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Springer US ๐ŸŒ English โš– 972 KB
Kinematic formulas for finite vector spa
โœ Daniel A. Klain ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 500 KB

We derive q-analogues of some fundamental theorems of convex geometry, including Helly's theorem, the principal kinematic formula, and Hadwiger's characterization theorem for invariant valuations. The essential link between convex geometry and combinatorial theory is the lattice structure of the co

A new class of kinematic spaces
โœ Herbert Hotje, Joachim Otto ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Springer ๐ŸŒ English โš– 400 KB
Sobolev mappings with integrable dilatat
โœ Juha Heinonen; Pekka Koskela ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Springer ๐ŸŒ English โš– 853 KB

We show that each quasi-light mapping fin the Sobolev space W~'n(s R n) satisfying ]Df(x)ln<=K(x,f)J(x,f) for almost every x and for some K~Lr(s r > n-1, is open and discrete. The assumption that f be quasilight can be dropped if, in addition, it is required that f~ WI'P(f2, R n) for some p \_\_\_ n