Hölder classes relative to degenerate elliptic operators as interpolation spaces

The well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of Hörmander type.<br />

Bibliographic Details
Main Authors: Ugo Gianazza, Vincenzo Vespri
Format: Article
Language:English
Published: Università degli Studi di Catania 1998-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/359
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spelling doaj-47b6d1bd65964b5d9c445e3bef4ecec32020-11-25T03:18:56ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981998-05-01531107121335Hölder classes relative to degenerate elliptic operators as interpolation spacesUgo GianazzaVincenzo VespriThe well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of Hörmander type.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/359
collection DOAJ
language English
format Article
sources DOAJ
author Ugo Gianazza
Vincenzo Vespri
spellingShingle Ugo Gianazza
Vincenzo Vespri
Hölder classes relative to degenerate elliptic operators as interpolation spaces
Le Matematiche
author_facet Ugo Gianazza
Vincenzo Vespri
author_sort Ugo Gianazza
title Hölder classes relative to degenerate elliptic operators as interpolation spaces
title_short Hölder classes relative to degenerate elliptic operators as interpolation spaces
title_full Hölder classes relative to degenerate elliptic operators as interpolation spaces
title_fullStr Hölder classes relative to degenerate elliptic operators as interpolation spaces
title_full_unstemmed Hölder classes relative to degenerate elliptic operators as interpolation spaces
title_sort hölder classes relative to degenerate elliptic operators as interpolation spaces
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 1998-05-01
description The well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of Hörmander type.<br />
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/359
work_keys_str_mv AT ugogianazza holderclassesrelativetodegenerateellipticoperatorsasinterpolationspaces
AT vincenzovespri holderclassesrelativetodegenerateellipticoperatorsasinterpolationspaces
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