Abstract
In this paper, we show that (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) , where (Formula presented.) is a nonconstant inner function. We also provide necessary and sufficient conditions for (Formula presented.) -Toeplitzness of (Formula presented.). Indeed, (Formula presented.) is (Formula presented.) -Toeplitz if and only if (Formula presented.) is an inner function. Finally, we study several conditions for the product (Formula presented.) to be Toeplitz.
Original language | English |
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Pages (from-to) | 1522-1538 |
Number of pages | 17 |
Journal | Complex Variables and Elliptic Equations |
Volume | 60 |
Issue number | 11 |
DOIs | |
State | Published - 2 Nov 2015 |
Keywords
- S-Toeplitz operator
- hardy space
- inner function
- weighted composition operator