Interpolation of Banach spaces, differential geometry and differential equations.

Stephen Semmes

Revista Matemática Iberoamericana (1988)

  • Volume: 4, Issue: 1, page 155-176
  • ISSN: 0213-2230

Abstract

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In recent years the study of interpolation of Banach spaces has seen some unexpected interactions with other fields. (...) In this paper I shall discuss some more interactions of interpolation theory with the rest of mathematics, beginning with some joint work with Coifman [CS]. Our basic idea was to look for the methods of interpolation that had interesting PDE's arising as examples.

How to cite

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Semmes, Stephen. "Interpolation of Banach spaces, differential geometry and differential equations.." Revista Matemática Iberoamericana 4.1 (1988): 155-176. <http://eudml.org/doc/39354>.

@article{Semmes1988,
abstract = {In recent years the study of interpolation of Banach spaces has seen some unexpected interactions with other fields. (...) In this paper I shall discuss some more interactions of interpolation theory with the rest of mathematics, beginning with some joint work with Coifman [CS]. Our basic idea was to look for the methods of interpolation that had interesting PDE's arising as examples.},
author = {Semmes, Stephen},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de Banach; Diferencial; Ecuaciones diferenciales; Interpolación; Geometría; connections with differential geometry and partial differential equations; interpolation theory; differential structure},
language = {eng},
number = {1},
pages = {155-176},
title = {Interpolation of Banach spaces, differential geometry and differential equations.},
url = {http://eudml.org/doc/39354},
volume = {4},
year = {1988},
}

TY - JOUR
AU - Semmes, Stephen
TI - Interpolation of Banach spaces, differential geometry and differential equations.
JO - Revista Matemática Iberoamericana
PY - 1988
VL - 4
IS - 1
SP - 155
EP - 176
AB - In recent years the study of interpolation of Banach spaces has seen some unexpected interactions with other fields. (...) In this paper I shall discuss some more interactions of interpolation theory with the rest of mathematics, beginning with some joint work with Coifman [CS]. Our basic idea was to look for the methods of interpolation that had interesting PDE's arising as examples.
LA - eng
KW - Espacios de Banach; Diferencial; Ecuaciones diferenciales; Interpolación; Geometría; connections with differential geometry and partial differential equations; interpolation theory; differential structure
UR - http://eudml.org/doc/39354
ER -

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