Pseudodifferential operators with homogeneous symbols

Michigan Mathematical Journal

Volumn 46, Issue 2, 1999, Pages 261-269

  Grafakos, Loukas ^a   Torres, Rodolfo H ^b  

^a UNIVERSITY OF MISSOURI   (United States)

^b UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005425296     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1030132409     Document Type: Article

References (19)

1. J. Bony, Calcul symbolique et propagation des singularités pour les equations aux dérivées partielles non linéaires, Ann. Sci. Ecole Norm. Sup. (4) 14 (1981), 209-246.
2. G. Bourdaud, Une algèbre maximale d'opérateurs pseudodifferentiels, Comm. Partial Differential Equations 13 (1988), 1059-1083.
3. A. Calderón and A. Zygmund, Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901-921.
4. G. David and J.-L. Journé A boundedness criterion for generalized Calderón-Zygmund operators, Ann. of Math. (2) 120 (1984), 371-397.
5. M. Frazier and B. Jawerth, Decomposition of Besov spaces, Indiana Univ. Math. J. 34 (1985), 777-799.
6. _, A discrete transform and decompositions of distribution spaces, J. Func Anal. 93 (1990), 34-170.
7. M. Frazier, B. Jawerth, and G. Weiss, Littlewood-Paley theory and the study of function spaces, CBMS Regional Conf. Ser. in Math., 79, Amer. Math. Soc., Providence, RI, 1991.
8. L. Grafakos, Boundedness of pseudodifferential operators on homogeneous Lipschitz spaces (technical report).
9. L. Hörmander, Pseudodifferential operators of type 1,1, Comm. Partial Differential Equations 13 (1988), 1085-1111.
10. _, Continuity of pseudodifferential operators of type 1,1, Comm. Partial Differential Equations 14 (1989), 231-243.
11. P. Lemarié, Continuité sur les espaces de Besov des operateurs définis par des integrales singuliéres, Ann. Inst. Fourier (Grenoble) 35 (1985), 175-187.
12. Y. Meyer, Regularité des solutions des équations aux dérivées partielles non linéaires, Lecture Notes in Math., 842, pp. 293-302, Springer-Verlag, Berlin, 1980.
13. _, Ondelettes et opérateurs II, Hermann, Paris, 1990.
14. L. Paivarinta, Pseudo-differential operators in Hardy-Triebel spaces, Z. Anal. Anwendungen 2 (1983), 235-242.
15. J. Peetre, New thoughts on Besov spaces (Duke University Math. Ser., vol. 1), Durham, NC, 1976.
16. E. Stein, Harmonic analysis: Real variable methods, orthogonality, and oscillatory integrals, Princeton Univ. Press, Princeton, NJ, 1993.
17. R. Torres, Continuity properties of pseudodifferential operators of type 1,1, Comm. Partial Differential Equations 15 (1990), 1313-1328.
18. _, Boundedness results for operators with singular kernels on distribution spaces, Mem. Amer. Math. Soc. 442 (1991).
19. H. Triebel, Theory of function spaces. Monographs Math., 78, Birkhäuser, Base 1983.