Hankel and Toeplitz operators: continuous and discrete representations
نویسندگان
چکیده
منابع مشابه
Essentially Commuting Hankel and Toeplitz Operators
We characterize when a Hankel operator and a Toeplitz operator have a compact commutator. Let dσ(w) be the normalized Lebesgue measure on the unit circle ∂D. The Hardy space H is the subspace of L(∂D, dσ), denoted by L, which is spanned by the space of analytic polynomials. So there is an orthogonal projection P from L onto the Hardy space H, the so-called Hardy projection. Let f be in L∞. The ...
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These are the notes of the lecture course given at LTCC in 2015. The aim of the course is to consider the following three classes of operators: Toeplitz and Hankel operators on the Hardy space on the unit circle and Toeplitz operators on the Bergman space on the unit disk. For each of these three classes of operators, we consider the following questions: boundedness and estimates or explicit ex...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2017
ISSN: 1232-9274
DOI: 10.7494/opmath.2017.37.1.189