TY - JOUR
T1 - An example on null sets of parabolic measures
AU - Wu, Jang Mei
PY - 1989/12
Y1 - 1989/12
N2 - A set E on the real line of Hausdorff dimension 1 is constructed, such that the graph of E on the boundary of any C2 domain (t > τ(x)), or on the boundary of any Lip 1/2 domain (x > χ(t)), is null with respect to the parabolic measure associated with any parabolic operator L = a(x, t)∂2/∂x2 − ∂/∂t on R2; a is Hölder continuous and 0 < Λ1 ≥ a ≥ Λ2 < ∞ for some constants Λ1 and Λ2.
AB - A set E on the real line of Hausdorff dimension 1 is constructed, such that the graph of E on the boundary of any C2 domain (t > τ(x)), or on the boundary of any Lip 1/2 domain (x > χ(t)), is null with respect to the parabolic measure associated with any parabolic operator L = a(x, t)∂2/∂x2 − ∂/∂t on R2; a is Hölder continuous and 0 < Λ1 ≥ a ≥ Λ2 < ∞ for some constants Λ1 and Λ2.
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U2 - 10.1090/S0002-9939-1989-0986653-3
DO - 10.1090/S0002-9939-1989-0986653-3
M3 - Article
AN - SCOPUS:84875552567
SN - 0002-9939
VL - 107
SP - 949
EP - 961
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 4
ER -