Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kernels of unbounded Toeplitz operators and factorization of symbols   We consider kernels of unbounded Toeplitz operators in $H^p(\mathbb C^+)$ in
terms of a factorization of their symbols. We study the existence of a minimal
Toeplitz kernel containing a given function in $H^p(\mathbb C^+)$, we describe
the kernels of Toeplitz operators whose symbol possesses a certain
factorization involving two different Hardy spaces and we establish relations
between the kernels of two operators whose symbols differ by a factor which
corresponds, in the unit circle, to a non-integer power of $z$. We apply the
results to describe the kernels of Toeplitz operators with non-vanishing
piecewise continuous symbols.

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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: stat