6533b857fe1ef96bd12b4cba

RESEARCH PRODUCT

Isometries of weighted spaces of holomorphic functions on unbounded domains

Pilar RuedaChristopher Boyd

subject

Discrete mathematicsSemi-infiniteGeneral MathematicsBounded functionHolomorphic functionComplex planeMathematics

description

We study isometries between weighted spaces of holomorphic functions on unbounded domains in ℂn. We show that weighted spaces of holomorphic functions on unbounded domains may exhibit behaviour different from that observed on bounded domains. We calculate the isometries for specific weights on the complex plane and the right half-plane.

https://doi.org/10.1017/s0308210507001230