A generalized Bessel inequality
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- by Elena Prestini PDF
- Proc. Amer. Math. Soc. 83 (1981), 99-102 Request permission
Abstract:
To any pair of diadic intervals $[I,\omega ]$ with / Q $I \subseteq [0,1]$ and $\omega = [{N_\omega },{N_\omega } + |I{|^{ - 1}})$ we associate the function ${u_{[I,\omega ]}}(x) = |I{|^{ - 1/2}}{e^{i{N_w}x}}{\chi _I}(x)$. In this paper we will give a condition under which a collection $B$ of such pairs satisfies the inequality $B$ for any $ab$ in $f$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 99-102
- MSC: Primary 42A20; Secondary 42A24
- DOI: https://doi.org/10.1090/S0002-9939-1981-0619991-7
- MathSciNet review: 619991