Atomic decomposition and duality for a class of Fock spaces

ABSTRACT

We obtain atomic decomposition for weighted Fock spaces $F_{\phi }^p$ whose weights φ satisfy a certain version of the doubling condition. We also characterize the dual space of these Fock spaces for any 0<p<1.

KEYWORDS:

• Fock spaces
• doubling condition
• reproducing kernel
• atomic decomposition

AMS SUBJECT CLASSIFICATIONS:

• Primary 30H20 and 32C37
• secondary 32A25and 32A36

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research supported by NNSF of China (Grant No. 11720101003 and 11571217), the Project of International Science and Technology Cooperation Innovation Platform in Universities in Guangdong Province (Grant No. 2014KGJHZ007), and Shantou University (Grant No. NTF17009).