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Kumano-go, H.; Nagase, M.

\(L^ p\)-theory of pseudo-differential operators. (English) Zbl 0206.10404

Proc. Japan Acad. 46, 138-142 (1970).
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Cited in 11 Documents

MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
35J99 Elliptic equations and elliptic systems
35B45 A priori estimates in context of PDEs
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References:

[1] L. Hormander: Estimates for translation invariant operators in L* spaces. Acta Math., 104, 93-140 (1960). · Zbl 0093.11402 · doi:10.1007/BF02547187
[2] L. Hormander: Pseudo-differential operators and hypoelliptic equations. Proc. Symposium on Singular Integrals. Amer. Math. Soc.,10, 138-183 (1968). · Zbl 0167.09603
[3] V. M. Kagan: Boundedness of pseudo-differential operators in Lp. Izv. Vyss. Ucebn. Zaved. Matematika, no. 6 (73), 35-44 (1968) (in Russian). · Zbl 0181.36805
[4] H. Kumano-go: Remarks on pseudo-differential operators. J. Math. Soc. Japan, 21, 413-439 (1969). · Zbl 0179.42201 · doi:10.2969/jmsj/02130413
[5] H. Kumano-go: Algebras of pseudo-differential operators. J. Fac. Sci. Univ. Tokyo (to appear). · Zbl 0206.10501
[6] J. L. Lions and E. Magenes: Problemi ai limiti non omogenei. III. Ann. Scuola Norm. Sup. Pisa., Ser. 3, 15, 41-103 (1961). · Zbl 0101.07901 · doi:10.5802/aif.111
[7] A. Zygmund: Trigonometricla Series. II. Cambridge (1959). · Zbl 0085.05601
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