Báo cáo toán học: "A characterization of balanced episturmian sequences" docx
Báo cáo toán học: "A characterization of balanced episturmian sequences" docx
... particular,
the A-strict episturmian sequences correspond to the Arnoux-Rauzy sequences (see [3]).
3 Balanced episturmian sequences
In this section, we give a characterization of the balanced episturmian ... is
ultimately periodic.
Proof. It is a direct consequence of Theorem 3.10.
Corollary 3.13. None of the Arnoux-Rauzy sequences (A-strict episturmian sequences)
are bal...
Báo cáo toán học: "A Characterization of Morrey Type Besov and Triebel-Lizorkin Spaces" ppt
... Theorem 1
The idea of the proof is from Rychkov[8]. In fact, we will use the method in [8]
with Lemma 3 and Lemma 4. To do the end, we give the proof in three steps.
A Characterization of Morrey Type ... see
[22].
A Characterization of Morrey Type Besov and Triebel-Lizorkin Spaces 371
To make these space meaningful, the key point is to show that Definition 2
is independent of the c...
Báo cáo hóa học: "A CHARACTERIZATION OF CHAOTIC ORDER" pdf
... that
B
p
A
−p/2
B
−p/2
A
p
≥ B
p
holds for any p ≥ p
0
,butA B is not valid.
2. The proofs of the main results
To give a proof of Theorem 1.4, we also need the following well-known theorem used in
[3] which ... ε
p
4+2
−p/2
2
+
ε
3p/2
4+2
−p/2
2
p/2
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
.
(2.8)
4 A characterization of chaotic order
Applying (i) of Lemma 2.2,weobtain
B
−p/...
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