Geodesic
K-ENVELOPES FOR REAL INTERPOLATION METHODS
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 293-307

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DOI

In this paper, we study the K-envelopes of the real interpolation methods with function space parameters in the sense of Brudnyi and Kruglyak [Y. A. Brudnyi and N. Ja. Kruglyak, Interpolation functors and interpolation spaces (North-Holland, Amsterdam, Netherlands, 1991)]. We estimate the upper bounds of the K-envelopes and the interpolation norms of bounded operators for the KΦ-methods in terms of the fundamental function of the rearrangement invariant space related to the function space parameter Φ. The results concerning the quasi-power parameters and the growth/continuity envelopes in function spaces are obtained.
DOI : 10.1017/S0017089512000523
Mots-clés : Primary 46B70, 46M35, Secondary 46B25, 46E30 
FAN, MING. K-ENVELOPES FOR REAL INTERPOLATION METHODS. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 293-307. doi: 10.1017/S0017089512000523
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     author = {FAN, MING},
     title = {K-ENVELOPES {FOR} {REAL} {INTERPOLATION} {METHODS}},
     journal = {Glasgow mathematical journal},
     pages = {293--307},
     year = {2013},
     volume = {55},
     number = {2},
     doi = {10.1017/S0017089512000523},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000523/}
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