Document Zbl 0436.31002

An identity with applications to harmonic measure. (English) Zbl 0436.31002

Bull. Am. Math. Soc., New Ser. 2, 447-451 (1980).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0436.31002

MSC:

31B05	Harmonic, subharmonic, superharmonic functions in higher dimensions
31B25	Boundary behavior of harmonic functions in higher dimensions

Keywords:

harmonic measure; Lipschitz domain; Dirichlet problem; absolute continuity; integral formula; reverse Hölder inequality

Cite Review PDF

Full Text: DOI

References:

[1]	R. R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241 – 250. · Zbl 0291.44007
[2]	Björn E. J. Dahlberg, Estimates of harmonic measure, Arch. Rational Mech. Anal. 65 (1977), no. 3, 275 – 288. · Zbl 0406.28009 · doi:10.1007/BF00280445
[3]	B. E. J. Dahlberg, On the Poisson integral for Lipschitz and C, Studia Math, (to appear). · Zbl 0422.31008
[4]	Richard A. Hunt and Richard L. Wheeden, On the boundary values of harmonic functions, Trans. Amer. Math. Soc. 132 (1968), 307 – 322. · Zbl 0159.40501
[5]	Richard A. Hunt and Richard L. Wheeden, Positive harmonic functions on Lipschitz domains, Trans. Amer. Math. Soc. 147 (1970), 507 – 527. · Zbl 0193.39601
[6]	Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. · Zbl 0207.13501
[7]	N. Wiener, The Dirichlet problem, J. Math. Phys. 3 (1924), 127-146. · JFM 51.0361.01

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.