𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sharp Forelli–Rudin estimates and the norm of the Bergman projection

✍ Scribed by Liu, Congwen


Book ID
126767031
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
948 KB
Volume
268
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Generalizations of the Forelli–Rudin Est
✍ Karel Stroethoff 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 106 KB

We give elementary proofs of the Forelli᎐Rudin estimates and generalizations of these estimates. As an application we obtain L p -boundedness results for classes of integral operators that include Bergman projections and Hankel operators.

Sharp Estimates of the Sobolev Norm ofuT
✍ M.T. Lacey 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 105 KB

We give a new proof of the following inequality. In any dimension n G 2 and for Ž . 1-p-nlet s s n q p r2 p. Then p, s Ž n . where L R denotes the usual Sobolev space and ٌ¨denotes the gradient of The choice of s is optimal, as is the requirement that n ) p. In addition, some Sobolev norms of u ٌ¨

Lp -estimates for the Bergman projection
✍ Dariush Ehsani; Ingo Lieb 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 167 KB

## Abstract We consider the Bergman projection on Henkin–Leiterer domains, bounded strictly pseudoconvex domains which have defining functions whose gradient is allowed to vanish. Our result describes the mapping properties of the Bergman projection between weighted __L^p^__ spaces, with the weight