Parabolic measure on domains of class Lip 1 2

Robert Kaufman; Jang-Mei Wu

Compositio Mathematica (1988)

  • Volume: 65, Issue: 2, page 201-207
  • ISSN: 0010-437X

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Kaufman, Robert, and Wu, Jang-Mei. "Parabolic measure on domains of class Lip $1 \over 2$." Compositio Mathematica 65.2 (1988): 201-207. <http://eudml.org/doc/89889>.

@article{Kaufman1988,
author = {Kaufman, Robert, Wu, Jang-Mei},
journal = {Compositio Mathematica},
keywords = {projection; Lip function; parabolic measure; adjoint parabolic measure; Hausdorff dimension; heat equation},
language = {eng},
number = {2},
pages = {201-207},
publisher = {Kluwer Academic Publishers},
title = {Parabolic measure on domains of class Lip $1 \over 2$},
url = {http://eudml.org/doc/89889},
volume = {65},
year = {1988},
}

TY - JOUR
AU - Kaufman, Robert
AU - Wu, Jang-Mei
TI - Parabolic measure on domains of class Lip $1 \over 2$
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 65
IS - 2
SP - 201
EP - 207
LA - eng
KW - projection; Lip function; parabolic measure; adjoint parabolic measure; Hausdorff dimension; heat equation
UR - http://eudml.org/doc/89889
ER -

References

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  1. 1 A.S. Besicovitch, On the sum of digits of real numbers represented in the dyadic system, (On sets of fractional dimensions II), Math. Annalen110 (1934-35) 321-330. Zbl0009.39503MR1512941JFM60.0949.01
  2. 2 E.G. Effros and J.L. Kazdan, On the Dirichlet problem for the heat equation, Indiana Math. Jour.20 (1971) 683-693. Zbl0216.12702MR268543
  3. 3 R. Kaufman and J.-M. Wu, Singularity of parabolic measures, Compositio Math.40 (1980) 243-250. Zbl0387.31001MR563542
  4. 4 R. Kaufman and J.-M. Wu, On the snow flake domain, Arkiv Mat.23 (1985) 177-183. Zbl0573.30030MR800179
  5. 5 J.T. Kemper, Temperatures in several variables: kernel functions, representations and parabolic boundary values, Trans. Amer. Math. Soc.167 (1972) 243-262. Zbl0238.35039MR294903
  6. 6 N.G. Makarov, On the distortion of boundary sets under conformal mappings, Proc. London Math. Soc. (3) 51 (1985) 369-384. Zbl0573.30029MR794117
  7. 7 I.G. Petrowsky: Zur Ersten Randwertaufgaben der Warmeleitungsgleichung, Compositio Math1 (1935) 383-419. Zbl0010.29903JFM60.1140.01
  8. 8 S.J. Taylor and N.A. Watson, A Hausdorff measure classification of polar sets for the heat equation, Math. Proc. Camb. Phil. Soc.97 (1985) 325-344. Zbl0584.31006MR771826
  9. 9 J.-M. Wu, On parabolic measures and subparabolic functions, Trans. Amer. Math. Soc.251 (1979) 171-186. Zbl0426.35044MR531974

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