# On homogeneous polynomials on a complex ball

@inproceedings{Ryll1983OnHP, title={On homogeneous polynomials on a complex ball}, author={Jerzy Ryll and P. Wojtaszczyk}, year={1983} }

- Published 1983
DOI:10.1090/s0002-9947-1983-0684495-9

We prove that there exist «-homogeneous polynomials p„ on a complex d-dimensional ball such that II /»„ II „o = 1 and Ily7„ll2 * fn2~d. This enables us to answer some questions about Hp and Bloch spaces on a complex ball. We also investigate interpolation by «-homogeneous polynomials on a 2-dimensional complex ball. Introduction. The starting point of our investigation was a question asked by S. Waigner: Is the identity map from Hx(Bd) into Hx(Bd) (Bd is a unit ball in Cd), d > 1, a compact… CONTINUE READING

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