EXTENSIONS OF H-LIPSCHITZIAN MAPPINGS WITH INFINITE-DIMENSIONAL RANGE
1999 ◽
Vol 02
(03)
◽
pp. 461-474
◽
Keyword(s):
Let γ be a Radon Gaussian measure on a locally convex space X with the Cameron–Martin space H, let A⊂X be a γ-measurable set, and let F: A→ E be a γ-measurable mapping with values in a separable Hilbert space E such that |F(x)-F(y)|E ≤C|x-y|H whenever x, y∈A, x-y∈H. The main result in this work gives a γ-measurable extension of F to all of X such that |F(x+h)-F(x)|E≤C|h|H for all x∈X and h∈H. Some related results are obtained.
1983 ◽
Vol 26
(1)
◽
pp. 67-72
1988 ◽
Vol 103
(3)
◽
pp. 497-502
1982 ◽
Vol 34
(2)
◽
pp. 406-410
◽
2018 ◽
Vol 10
(1)
◽
pp. 101-111
1979 ◽
Vol 28
(1)
◽
pp. 23-26
Keyword(s):
1996 ◽
Vol 19
(4)
◽
pp. 727-732
Keyword(s):
1970 ◽
Vol 17
(2)
◽
pp. 121-125
◽
Keyword(s):
1979 ◽
Vol 20
(2)
◽
pp. 193-198
◽
Keyword(s):