Notes on commutators and Morrey spaces
Yasuo Komori, Takahiro Mizuhara
Abstract
Open-access reader
Yasuo Komori, Takahiro Mizuhara
Abstract
Open-access reader
We show that the commutator [M_{b}, I_{\alpha}] of the multiplication operator M_{b} by b and the fractional integral operator I_{\alpha} is bounded from the Morrey space L^{p,\lambda}(R^{7\iota}) to the Morrey space L^{q,\lambda}(R^{n}) where 1 <p<\infty , 0<\alpha<n , 0<\lambda
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We show that the commutator [M_{b}, I_{\alpha}] of the multiplication operator M_{b} by b and the fractional integral operator I_{\alpha} is bounded from the Morrey space L^{p,\lambda}(R^{7\iota}) to the Morrey space L^{q,\lambda}(R^{n}) where 1 <p<\infty , 0<\alpha<n , 0<\lambda
Key concepts: Commutator, Mathematics, Bounded function, Operator (biology), Pure mathematics, Space (punctuation), Bounded mean oscillation, Multiplication (music)