Continuous embedding between P-de Branges spaces

Abstract

In this paper we study the continuity of the embedding operator ℓ : ℋp(E) ↪ ℋ q(E) when 0 1. In this work, we address the problem when p = 1, using a new approach, but asking some additional hypothesis about the Hermite-Biehler function E. We give also a different proof for the case p > 1.

Keywords

• de branges spaces
• continuous embedding operator
• 30h99