Measure, Integration & Real Analysis · Problem 8C.23

Real and Complex Measures — Sheldon Axler

Mathematics — Measure Theory · bergman-space-removable-singularity

Problem

Prove that if

f \in L^2_a(\mathbf{D} \setminus \{0\})

, then

f

has a removable singularity at

0

(meaning that

f

can be extended to a function that is analytic on

\mathbf{D}