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Watanabe, Kinji

On the boundedness of pseudo-differential operators of type \(p,\delta\) with \(0 \leq p=\delta <1\). (English) Zbl 0284.35068

Tohoku Math. J., II. Ser. 25, 339-345 (1973).
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MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
47F05 General theory of partial differential operators
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References:

[1] A. P. CALDERON AND R. VAILLANCOURT, On the Boundedness of Pseudo-Differential Opera-tors, J. of Math. Soc. Japan, 23 (1971), 374-378. · Zbl 0203.45903 · doi:10.2969/jmsj/02320374
[2] A. P. CALDERON AND R. VAILLANCOURT, A Class of Bounded Pseudo-Differential Operators, Proc. Nat. Acad. Sci. U. S. A., 69(1972), 1185-1187. JSTOR: · Zbl 0244.35074 · doi:10.1073/pnas.69.5.1185
[3] CHIN-HUNG CHING, Pseudo-Differential Operators with nonregular symbols, J. Differentia Equations 11 (1972), 436-447. · Zbl 0248.35106 · doi:10.1016/0022-0396(72)90057-5
[4] L. HORMANDER, Pseudo-Differential Operators and Hypoelliptic Equations, Proc.Symposiu on Singular Integrals, Amer. Math. Soc. 10 (1967), 138-183. · Zbl 0167.09603
[5] L. HORMANDER, On the L2 Continuity of Pseudo-Differential Operators, Comm. Pure Appl. Math. 24 (1971), 529-535. · Zbl 0206.39303 · doi:10.1002/cpa.3160240406
[6] H. KUMANO-GO, Algebras of Pseudo-Differential Operators, J. Fac. Sci. Univ. Tokyo 1 (1970), 31-50. · Zbl 0206.10501
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