Some results on function spaces of varying smoothness
Jan Schneider
Banach Center Publications, Tome 83 (2008), p. 187-195 / Harvested from The Polish Digital Mathematics Library
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This paper deals with function spaces of varying smoothness Bp,s₀(ℝⁿ), where the function :x ↦ s(x) determines the smoothness pointwise. Those spaces were defined in [2] and treated also in [3]. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:281654 
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     author = {Jan Schneider},
     title = {Some results on function spaces of varying smoothness},
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     volume = {83},
     year = {2008},
     pages = {187-195},
     zbl = {1145.46020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-15}
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Jan Schneider. Some results on function spaces of varying smoothness. Banach Center Publications, Tome 83 (2008) pp. 187-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-15/