Kernels of Toeplitz operators

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Mar 4, 1985 - $\lim_{rarrow 1}\int_{-\pi}^{\pi}\log^{+}|f(re^{i\theta})|d\theta=\int_{-\pi}^{\pi}\log^{+}|f(e^{i\theta})| .... for some outer function $h\dot{\iota}nH^{\infty}$.
J. Math. Soc. Japan Vol. 38, No. 4, 1986

Kernels of Toeplitz operators By Takahiko NAKAZI (Received March 4, 1985)

1. Introduction. be the boundary be the open unit disc in the complex plane and let of $U$ . If is bounded for $0\leqq r