Access the full text.
Sign up today, get DeepDyve free for 14 days.
(1975)
The cos πλ theorem, Lecture Notes in Mathematics 467 (Springer, Berlin, 1975)
M. Essén (1975)
The cos πλ theorem
L. Ahlfors (1982)
Untersuchungen zur Theorie der Konformen Abbildung und der Ganzen Funktionen
A. Baernstein (1972)
Proof of Edrei's Spread ConjectureProceedings of The London Mathematical Society
Suppose that C1 and C2 are two simple curves joining 0 to ∞, non‐intersecting in the finite plane except at 0 and enclosing a domain D which is such that, for all large r, {θ:reiθ∈D¯} has measure at most 2α, where 0 < α < π. Suppose also that u is a non‐constant subharmonic function in the plane such that u(z) = B(|z|, u) for all large z ∈ C1 ∪ C2. Let AD(r, u) = inf { u(z):z ∈ D and | z | = r }. It is shown that if AD(r, u) = O(1) (or AD(r, u) = o(B(r, u))), then limr → ∞ B(r, u)/rπ/2α > 0 (or limr→∞ log B(r, u)/log r ⩾ π/2α).
Bulletin of the London Mathematical Society – Wiley
Published: Feb 1, 2009
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.