Details
| Original language | English |
|---|---|
| Pages (from-to) | 106-119 |
| Number of pages | 14 |
| Journal | Results in mathematics |
| Volume | 33 |
| Issue number | 1-2 |
| Publication status | Published - 1 Mar 1998 |
| Externally published | Yes |
Abstract
This note is concerned with spaces of functions possessing dominating mixed smoothness properties. In particular, it includes the proof of a φ-transform result for those function spaces of Triebel-Lizorkin type. This result relates mixed smoothness properties to sequence space norms depending only on magnitudes.
Keywords
- 42B25, 42C15, 46F99, Dominating mixed smoothness, function spaces, Littlewood-Paley decompositions, nonorthogonal expansions
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics (miscellaneous)
- Mathematics(all)
- Applied Mathematics
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In: Results in mathematics, Vol. 33, No. 1-2, 01.03.1998, p. 106-119.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A φ-Transform Result for Spaces with Dominating Mixed Smoothness Properties
AU - Hochmuth, Reinhard
N1 - Publisher Copyright: © 1998, Birkhäuser Verlag, Basel.
PY - 1998/3/1
Y1 - 1998/3/1
N2 - This note is concerned with spaces of functions possessing dominating mixed smoothness properties. In particular, it includes the proof of a φ-transform result for those function spaces of Triebel-Lizorkin type. This result relates mixed smoothness properties to sequence space norms depending only on magnitudes.
AB - This note is concerned with spaces of functions possessing dominating mixed smoothness properties. In particular, it includes the proof of a φ-transform result for those function spaces of Triebel-Lizorkin type. This result relates mixed smoothness properties to sequence space norms depending only on magnitudes.
KW - 42B25
KW - 42C15
KW - 46F99
KW - Dominating mixed smoothness
KW - function spaces
KW - Littlewood-Paley decompositions
KW - nonorthogonal expansions
UR - http://www.scopus.com/inward/record.url?scp=84979059695&partnerID=8YFLogxK
U2 - 10.1007/BF03322075
DO - 10.1007/BF03322075
M3 - Article
AN - SCOPUS:84979059695
VL - 33
SP - 106
EP - 119
JO - Results in mathematics
JF - Results in mathematics
SN - 1422-6383
IS - 1-2
ER -