On
L
2
-Boundedness of
h
-Pseudodifferential Operators
Keyword(s):
Let T a h be the h -pseudodifferential operators with symbol a . When a ∈ S ρ , 1 m and m = n ρ − 1 / 2 , it is well known that T a h is not always bounded in L 2 ℝ n . In this paper, under the condition a x , ξ ∈ L ∞ S ρ n ρ − 1 / 2 ω , we show that T a h is bounded on L 2 .
1999 ◽
Vol 189
(1)
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pp. 117-152
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Keyword(s):
2013 ◽
Vol 174
(1)
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pp. 134-153
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2003 ◽
Vol 48
(11)
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pp. 937-945
1986 ◽
Vol 61
(2)
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pp. 250-267
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Keyword(s):
1988 ◽
Vol 31
(3)
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pp. 575-601
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Keyword(s):
2015 ◽
Vol 95
(8)
◽
pp. 1792-1807
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Keyword(s):
2013 ◽
Vol 671-674
◽
pp. 1614-1618
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