A Remark on Bases in Hardy Spaces
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 360-364
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The Franklin spline system in [0,1] has been generalized by Strömberg to a system in Rn which is an unconditional basis in H p (Rn ) for p > n/(n + m +1). Here the natural number m is the order of the system. For some of these values of p, it was known that the H p quasi-norm is equivalent to a certain expression containing the coefficients of the function with respect to this basis. We prove this equivalence for all p > n/(n + m +1).
Sjögren, Peter. A Remark on Bases in Hardy Spaces. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 360-364. doi: 10.4153/CMB-1984-054-9
@article{10_4153_CMB_1984_054_9,
author = {Sj\"ogren, Peter},
title = {A {Remark} on {Bases} in {Hardy} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {360--364},
year = {1984},
volume = {27},
number = {3},
doi = {10.4153/CMB-1984-054-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-054-9/}
}
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