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- Title
CHARACTERIZATIONS OF COMMUTATORS OF SINGULAR INTEGRAL OPERATORS ON MORREY TRIEBEL-LIZORKIN SPACES.
- Authors
CHENGLONG FANG
- Abstract
In this paper, we obtain the characterizations of Morrey Triebel-Lizorkin spaces by two families of operators. Applying the characterizations of Morrey Triebel-Lizorkin spaces, it is proved that b is a Lipschitz function if and only if the commutator [b, T] is bounded from Morrey spaces to Morrey Triebel-Lizorkin spaces, where T is singular integral operator or Riesz potential operator.
- Subjects
SINGULAR integrals; INTEGRAL operators; LIPSCHITZ spaces; MATHEMATICAL singularities; COMMUTATORS (Operator theory)
- Publication
Mathematical Reports, 2023, Vol 25, Issue 3, p425
- ISSN
1582-3067
- Publication type
Article
- DOI
10.59277/mrar.2023.25.75.3.425