TY - JOUR
T1 - The weighted Lp-boundedness of product-type pseudodifferential operators
AU - Yamazaki, Masao
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1989/3
Y1 - 1989/3
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.
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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 -