A New Characterization of the Hardy Space

Natanael Alpay

Published research

Research Summary

This work characterizes the Hardy space and related Hilbert spaces of analytic functions through the adjoint of the differentiation operator. Reproducing kernels connect an operator identity with the underlying function space.

The same approach also yields a characterization of the Fock space, illustrating how operator relations can identify familiar analytic spaces.

Published article Preprint on arXiv

Publication Details

N. Alpay. A new characterization of the Hardy space and of other Hilbert spaces of analytic functions. Istanbul Journal of Mathematics 1 (2023), no. 1, pp. 1–11.