Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay estimates connected with Toeplitzness of composition operators   In a higher dimensional version of an earlier conjecture of Nazarov and
Shapiro, the truth of which would imply that any composition operator on the
second Hardy space is weakly asymptotically Toeplitz, Shayya proved that the
arithmetic means of the main diagonal entries of the matrix of coefficients
connected with the conjecture, decay like 1/log N. But the proof does not
extend to other diagonal entries. We prove that the arithmetic means of the
entries along each diagonal decay like 1/(log N loglog N) uniformly.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs