Boundedness of Iterated Spherical Average on α-Modulation Spaces
For the iteration of spherical average ( A 1 ) N and the Laplace operator Δ, we consider the boundedness of the operator Δ( A 1 ) N on the α -modulation spaces M p , q s , α . The authors obtain some sufficient and necessary conditions to ensure the boundedness on the α -modulation spaces. The main...
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| Veröffentlicht in: | Chinese annals of mathematics. Serie B 2021-09, Vol.42 (5), p.721-736 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | For the iteration of spherical average (
A
1
)
N
and the Laplace operator Δ, we consider the boundedness of the operator Δ(
A
1
)
N
on the
α
-modulation spaces
M
p
,
q
s
,
α
. The authors obtain some sufficient and necessary conditions to ensure the boundedness on the
α
-modulation spaces. The main theorems significantly improve some known results. |
|---|---|
| ISSN: | 0252-9599 1860-6261 |
| DOI: | 10.1007/s11401-021-0287-0 |