Abstract
In this paper we consider non-regular simple symbols and double symbols satisfying estimates of product type, and give some sufficient conditions for the associated pseudodifferential operators to be bounded on weighted Lp-spaces, where the weights considered here are the Aq-weights of product type. In this paper we fill in the gap between the sufficient conditions for the unweighted Lp-boundedness and weighted Lp-boundedness. Some of the results are new even for the unweighted Lp-boundedness for symbols satisfying classical estimates.
| Original language | English |
|---|---|
| Pages (from-to) | 31-56 |
| Number of pages | 26 |
| Journal | Advances in Mathematics |
| Volume | 74 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1989 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
The weighted Lp-boundedness of product-type pseudodifferential operators. / Yamazaki, Masao.
In: Advances in Mathematics, Vol. 74, No. 1, 1989, p. 31-56.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The weighted Lp-boundedness of product-type pseudodifferential operators
AU - Yamazaki, Masao
PY - 1989
Y1 - 1989
N2 - In this paper we consider non-regular simple symbols and double symbols satisfying estimates of product type, and give some sufficient conditions for the associated pseudodifferential operators to be bounded on weighted Lp-spaces, where the weights considered here are the Aq-weights of product type. In this paper we fill in the gap between the sufficient conditions for the unweighted Lp-boundedness and weighted Lp-boundedness. Some of the results are new even for the unweighted Lp-boundedness for symbols satisfying classical estimates.
AB - In this paper we consider non-regular simple symbols and double symbols satisfying estimates of product type, and give some sufficient conditions for the associated pseudodifferential operators to be bounded on weighted Lp-spaces, where the weights considered here are the Aq-weights of product type. In this paper we fill in the gap between the sufficient conditions for the unweighted Lp-boundedness and weighted Lp-boundedness. Some of the results are new even for the unweighted Lp-boundedness for symbols satisfying classical estimates.
UR - http://www.scopus.com/inward/record.url?scp=45149145520&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=45149145520&partnerID=8YFLogxK
U2 - 10.1016/0001-8708(89)90003-0
DO - 10.1016/0001-8708(89)90003-0
M3 - Article
AN - SCOPUS:45149145520
VL - 74
SP - 31
EP - 56
JO - Advances in Mathematics
JF - Advances in Mathematics
SN - 0001-8708
IS - 1
ER -