Szegö Kernels
Author:
Publisher
Vieweg+Teubner Verlag
Link
http://link.springer.com/content/pdf/10.1007/978-3-663-14203-4_12
Reference16 articles.
1. General references for this section are Bungart [3] and Rudin [7].
2. Theorem XI: 3 was proved by a combination of arguments of Glicksberg, König, Seever and Rainwater. See Rudin [7, pg. 194] for details.
3. Theorem XI: 5 is due to Henkin, see Henkin and Čirka [4].
4. We have no exact description of the sets that satisfies condition (**), (pg 94).
5. By taking dilatations, it is clear that every starshaped domain satisfies (**). It is known that this is true also for smooth strictly pseudoconvex domains, cf.: N. Kerzman; Hölder and Lp estimates for solutions of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacuGHciITgaqeaiaadwhacqGH9aqpcaWGMbaaaa!3A7D! $$\bar \partial u = f$$ in strongly pseudoconvex domains, Comm. Pure Appl. Math. 24 (1971), 301–379
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