Abstract

Let Open image in new window be a measurable function defined on the unit polydisc Open image in new window in Open image in new window and let Open image in new window , Open image in new window , be admissible weights on the unit disk Open image in new window , with distortion functions Open image in new window , Open image in new window , where Open image in new window , and Open image in new window . We prove the following result: if Open image in new window and for all Open image in new window , Open image in new window , then Open image in new window and there is a positive constant Open image in new window such that Open image in new window .

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