On homogeneous polynomials on a complex ball

J. Ryll, P. Wojtaszczyk
1983 Transactions of the American Mathematical Society  
We prove that there exist «-homogeneous polynomials p" on a complex d-dimensional ball such that II /»" II "o = 1 and Ily7"ll2 * fñ2~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.
doi:10.1090/s0002-9947-1983-0684495-9 fatcat:eeh5dungonf5ffj7qqpqikjaea