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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제59권 제6호
- 발행연도
- 2022.11
- 수록면
- 1,371 - 1,385 (15page)
- DOI
- 10.4134/BKMS.b210783
이용수
초록· 키워드
오류제보하기
For setting a general weight function on $n$ dimensional complex space $\Cn$, we expand the classical Fock space. We define Fock type space $F^{p,q}_{\phi, t}(\Cn)$ of entire functions with a mixed norm, where $0<p,q<\infty$ and $t\in\R$ and prove that the mixed norm of an entire function is equivalent to the mixed norm of its radial derivative on $F^{p,q}_{\phi, t}(\Cn)$. As a result of this application, the space $F^{p,p}_{\phi, t}(\Cn)$ is especially characterized by a Lipschitz type condition.
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