On interpolation of bilinear operators by methods associated to polygons

Fernando Cobos; José María Cordeiro; Antón Martínez

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 319-330
  • ISSN: 0392-4041

How to cite

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Cobos, Fernando, Cordeiro, José María, and Martínez, Antón. "On interpolation of bilinear operators by methods associated to polygons." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 319-330. <http://eudml.org/doc/195592>.

@article{Cobos1999,
author = {Cobos, Fernando, Cordeiro, José María, Martínez, Antón},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {behaviour of bilinear operators under interpolation; methods defined by polygons; combination of the - and -methods},
language = {eng},
month = {6},
number = {2},
pages = {319-330},
publisher = {Unione Matematica Italiana},
title = {On interpolation of bilinear operators by methods associated to polygons},
url = {http://eudml.org/doc/195592},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Cobos, Fernando
AU - Cordeiro, José María
AU - Martínez, Antón
TI - On interpolation of bilinear operators by methods associated to polygons
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 319
EP - 330
LA - eng
KW - behaviour of bilinear operators under interpolation; methods defined by polygons; combination of the - and -methods
UR - http://eudml.org/doc/195592
ER -

References

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  1. ASTASHKIN, S. V., On interpolation of bilinear operators with a real method, Mat. Zametki, 52 (1992), 15-24. Zbl0798.46054MR1187708
  2. BERGH, J.- LÖFSTRÖM, J., «Interpolation Spaces. An Introduction», Springer, Berlin-Heidelberg-New York (1976). Zbl0344.46071MR482275
  3. COBOS, F.- FERNÁNDEZ-MARTÍNEZ, P., A duality theorem for interpolation methods associated to polygons, Proc. Amer. Math. Soc.121, (1994), 1093-1101. Zbl0806.46020MR1209420
  4. COBOS, F.- FERNÁNDEZ-MARTÍNEZ, P.- MARTÍNEZ, A., On reiteration and the behavior of weak compactness under certain interpolation methods, Collect. Math. (to appear). Zbl0935.46060MR1701216
  5. COBOS, F.- FERNÁNDEZ-MARTÍNEZ, P.- MARTÍNEZ, A.- RAYNAUD, Y., On duality between K - and J -spaces, Proc. Edinburgh Math. Soc. (to appear). Zbl0921.46016
  6. COBOS, F.- FERNÁNDEZ-MARTÍNEZ, P.- SCHONBEK, T., Norm estimates for interpolation methods defined by means of polygons, J. Approx. Theory, 80 (1995), 321-351. Zbl0922.46019MR1320157
  7. COBOS, F.- PEETRE, J., Interpolation of compact operators: The multidimensional case, Proc. London Math. Soc., 63 (1991), 371-400. Zbl0702.46047MR1114514
  8. CWIKEL, M.- JANSON, S., Real and complex interpolation methods for finite and infinite families of Banach spaces, Adv. Math., 66 (1987), 234-290. Zbl0646.46070MR915856
  9. FAVINI, A., Some results on interpolation of bilinear operators, Boll. Un. Mat. Ital., 15 (1978), 170-181. Zbl0377.46018MR493413
  10. FERNANDEZ, D. L., Interpolation of 2 d Banach spaces and the Calderón spaces X ⁢ E , Proc. London Math. Soc., 56 (1988), 143-162. Zbl0662.46077MR915534
  11. JANSON, S., On interpolation of multi-linear operators, in Function Spaces and Applications, Proceedings, Lund 1986, Lect. Notes Math., 1302 (1988), 290-302. Zbl0827.46062MR942274
  12. LIONS, J. L.- PEETRE, J., Sur une classe d'espaces d'interpolation, Inst. Hautes Etudes Sci. Publ. Math., 19 (1964), 5-68. Zbl0148.11403MR165343
  13. PEETRE, J., Paracommutators and minimal spaces, in Operators and Funtion Theory, Proceedings of the NATO Advanced Study Institute on Operators and Function Theory, Lancaster, 1984, ed. S. C. Power, Reidel, Dordrecht (1985), 163-223. Zbl0571.46019MR810447
  14. SPARR, G., Interpolation of several Banach spaces, Ann. Math. Pura Appl., 99 (1974), 247-316. Zbl0282.46022MR372641
  15. TRIEBEL, H., Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam (1978). Zbl0387.46032MR503903
  16. ZAFRAN, M., A multilinear interpolation theorem, Studia Math., 62 (1978), 107-124. Zbl0389.46025MR499959

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