Complex interpolation functors with a family of quasi-power function parameters

Ming Fan

Studia Mathematica (1994)

  • Volume: 111, Issue: 3, page 283-305
  • ISSN: 0039-3223

Abstract

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For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor.

How to cite

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Fan, Ming. "Complex interpolation functors with a family of quasi-power function parameters." Studia Mathematica 111.3 (1994): 283-305. <http://eudml.org/doc/216133>.

@article{Fan1994,
abstract = {For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor.},
author = {Fan, Ming},
journal = {Studia Mathematica},
keywords = {complex interpolation functors associated with derivatives of analytic functions; Calderón fundamental inequality; discretization; reiteration; Calderón-Lozanovskij construction for Banach lattices; Aronszajn-Gagliardo construction concerning minimality and maximality},
language = {eng},
number = {3},
pages = {283-305},
title = {Complex interpolation functors with a family of quasi-power function parameters},
url = {http://eudml.org/doc/216133},
volume = {111},
year = {1994},
}

TY - JOUR
AU - Fan, Ming
TI - Complex interpolation functors with a family of quasi-power function parameters
JO - Studia Mathematica
PY - 1994
VL - 111
IS - 3
SP - 283
EP - 305
AB - For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor.
LA - eng
KW - complex interpolation functors associated with derivatives of analytic functions; Calderón fundamental inequality; discretization; reiteration; Calderón-Lozanovskij construction for Banach lattices; Aronszajn-Gagliardo construction concerning minimality and maximality
UR - http://eudml.org/doc/216133
ER -

References

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  13. [KMP] N. Ya. Kruglyak, L. Maligranda and L. E. Persson, A Carlson type inequality with blocks and interpolation, Studia Math. 104 (1993), 161-180. Zbl0824.46088
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