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Daniele Tampieri
Daniele Tampieri
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I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n||T_n||< \infty$$\sum_{n \ge 1}n\|T_n\|< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder. It can be proved easily that $||T_n||=O(n^{-1-\epsilon})$$\|T_n\|=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?

I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n||T_n||< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder. It can be proved easily that $||T_n||=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?

I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n\|T_n\|< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder. It can be proved easily that $\|T_n\|=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?

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darij grinberg
darij grinberg
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fdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsF asymptotic expansions for $C^{1+\epsilon}$operators

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n||T_n||< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder. It can be proved easily that $||T_n||=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?

fdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsF

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

asymptotic expansions for $C^{1+\epsilon}$operators

I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n||T_n||< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder. It can be proved easily that $||T_n||=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?

deleted 345 characters in body; edited tags; edited title
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user522705
user522705

asymptotic expansions for $C^{1+\epsilon}$operators fdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsF

I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n||T_n||< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder on the closed unit disk. It can be proved easily that $||T_n||=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

asymptotic expansions for $C^{1+\epsilon}$operators

I want to understand the asymptotic expansion for $C^{1+\epsilon}$ operators.

More precisely, if a complex operator $T(z)=\sum_{n \ge 1}T_n z^n$ is defined on a closed unit disk, and it is $C^{1+\epsilon}$, i.e. $\sum_{n \ge 1}n||T_n||< \infty$, and $T'(z)=\sum_{n \ge 1}nT_nz^{n-1}$ is $\epsilon$-Holder on the closed unit disk. It can be proved easily that $||T_n||=O(n^{-1-\epsilon})$.

Is there a theory to study the asymptotic expansion of $T_n$, namely, $n^{1+\epsilon}T_n$ converges to some operator?

fdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsFfdsF

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

added 24 characters in body
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user522705
user522705
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user522705
user522705
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user522705
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