Fourier multipliers and integro-differential equations in banach spaces

Journal of the London Mathematical Society

Volumn 69, Issue 3, 2004, Pages 737-750

  Keyantuo, Valentin ^a   Lizama, Carlos ^b  

^a UNIVERSITY OF PUERTO RICO   (Puerto Rico)

^b UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042637814     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610704005198     Document Type: Article

References (19)

1. H. AMANN, Linear and quasilinear parabolic problems, Monographs in Mathematics 89 (Birkhäuser, Basel, 1995).
2. W. ARENDT and S. Bu, 'Operator-valued Fourier multipliers on periodic Besov spaces and applications', Ulmer Seminare 2001 - Vol. 6 (2001) 26-41.
3. W. ARENDT and S. Bu, 'The operator-valued Marcinkiewicz multiplier theorem and maximal regularity', Math. Z. 240 (2002) 311-343.
4. W. ARENDT, C. BATTY and S. Bu, 'Fourier multipliers for Hölder continuous functions and maximal regularity', Studia Math. 160 (2004) 23-51.
5. W. ARENDT, C. J. K. BATTY, M. HIEBER and F. NEUBRANDER, Vector-valued Laplace transforms and Cauchy problems, Monographs in Mathematics 96 (Birkhäuser, Basel, 2001).
6. 1-BMO duality', Probability theory and harmonic analysis (Marcel Dekker, New York, 1986).
7. P. L. BUTZER and H. BERENS, Semi-groups of operators and approximation', Die Grundlehren der Mathematischen Wissenschaften 145 (Springer, 1967).
8. P. CLÉMENT and G. DA PRATO, 'Existence and regularity results for an integral equation with infinite delay in a Banach space', Integral Equations Operator Theory 11 (1988) 480-500.
9. P. CLÉMENT, B. DE PAGTER, F. A. SUKOCHEV and M. WITVLIET, 'Schauder decomposition and multiplier theorems', Studia Math. 138 (2000) 135-163.
10. B. D. COLEMAN and M. E. GURTIN, 'Equipresence and constitutive equation for rigid heat conductors', Z. Angew. Math. Phys. 18 (1967) 199-208.
11. G. DA PRATO and A. LUNARDI, 'Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces', Differential equations in Banach spaces, Lecture Notes in Mathematics 1223 (Springer, 1985) 49-60.
12. G. DA PRATO and A. LUNARDI, 'Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type', Ann. Mat. Pura Appl. 4 (1988) 67-117.
13. B. DE PAGTER and H. WITVLIET, 'Unconditional decompositions and UMD spaces', Publ. Math. Fac. Sci. Besançon 16 (1998) 79-111.
14. E. FAŠANGOVÁ and J. PRÜSS, 'Asymptotic behaviour of a semilinear viscoelastic beam model', Arch. Math. (Basel) 77 (2001) 488-497.
15. J. W. NUNZIATO, 'On heat conduction in materials with memory', Quart. Appl. Math. 29 (1971) 187-304.
16. J. PRÜSS, Evolutionary integral equations and applications, Monographs in Mathematics 87 (Birkhäuser, Basel, 1993).
17. H. TRIEBEL, Theory of function spaces, Monographs in Mathematics 78 (Birkhäuser, Basel, 1983).
18. p-regularity', Math. Ann. 319 (2001) 735-758.
19. p-regularity, Lecture Notes in Pure and Appliel Mathematics 215 (Marcel Dekker, New York, 2001) 195-214.