|ISSN 1088-6826(online) ISSN 0002-9939(print)|
A problem on products of Toeplitz operators
Abstract: A natural and interesting problem on classical Hardy space of one complex variable is the following:
Problem: If , then there exist some such that .
In this note, we establish the kernel inclusion theorem for the products of Toeplitz operators. Using this fact, in case , we give the above question an affirmative answer.
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