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https://doi.org/10.1007/s11253-016-1162-0
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Cite Journal: Ukrainian Mathematical Journal |  Publication Date: Feb 1, 2016 |
 Citations: 2 |
Affiliation: Institute of Mathematics
In the Lebesgue spaces L p ([0, 1] d ), 1 ≤ p ≤ ∞, for d ≥ 2, we define a multiple basis system of functions H d = (h n ) = 1 ∞ . This system has the main properties of the well-known one-dimensional Haar basis H. In particular, it is shown that the system H d is a Schauder basis in the spaces L p ([0, 1] d ), 1 ≤ p < ∞.
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