2
$\begingroup$

I am reading this research paper about polynomials with non-negative coefficients. Can some one tell what does the notation $f \in H^\infty$ mean so that I can research about this function class?

$\endgroup$
  • $\begingroup$ To me it looks like a Hardy space, that is, that of bounded holomorphic functions on the unit disk with the supremmum norm. $\endgroup$ – busman Jul 14 '13 at 20:04
4
$\begingroup$

$H^\infty$ is the class of bounded holomorphic functions on the open unit disc (or sometimes the upper half-plane).

It is one of the Hardy spaces.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.