Littlewood–Paley theorem on spaces Lp(t)(ℝⁿ)
We point out that if the Hardy–Littlewood maximal operator is bounded on the space Lp(t)(ℝ), 1 < a ≤ p(t) ≤ b < ∞, t ∈ ℝ, then the well-known characterization of the spaces Lp(ℝ), 1 < p < ∞, by the Littlewood–Paley theory extends to the space L p(t)(ℝ). We show that, for n > 1 , the L...
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164982 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Littlewood–Paley theorem on spaces Lp(t)(ℝⁿ) / T.S. Kopaliani // Український математичний журнал. — 2008. — Т. 60, № 12. — С. 1709–1715. — Бібліогр.: 13 назв. — англ. |