Toeplitz operators on weighted Bergman spaces induced by a class of radial weights.

Suppose that $\omega$ is a radial weight on the unit disk that satisfies both forward and reverse doubling conditions. Using Carleson measures and $T1$-type conditions, we obtain necessary and sufficient conditions of the positive Borel measure $\mu$ such that the Toeplitz operator $T_{\mu,\omega}:L^p_a(\omega)\to L_a^1(\omega)$ is bounded and compact for $0

Keywords:

• Unit disk
• Bounded function
• Combinatorics
• Toeplitz operator
• Toeplitz matrix
• Omega
• Class (set theory)
• Borel measure
• Mathematics

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