Titlebook: Analysis of Divergence; Control and Manageme William O. Bray,?aslav V. Stanojevi? Book 1999 Birkh?user Boston 1999 Fourier transform.Sequen

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https://doi.org/10.1007/978-3-662-55890-4hese generators is the system (..;. ∈ .) defined on . as follows: ., where the coefficients .., .., .., .. all are integers which satisfy . (see Vilenkin [5] for more details). When ..≡..≡2 for all ., the system .. is the double Walsh system. When .. = .(1) and .. =.(1), the system .. is called a double Vilenkin system ..

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https://doi.org/10.1007/978-3-658-26893-0 suggested by P. W. Jones for the case p = 2, that it is adapted to the case 1 < p < ∞ using an new version of Cotlar’s Lemma for L.. We then prove some weighted inequalities for simple dyadic operators.

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Haar multipliers, paraproducts, and weighted inequalities suggested by P. W. Jones for the case p = 2, that it is adapted to the case 1 < p < ∞ using an new version of Cotlar’s Lemma for L.. We then prove some weighted inequalities for simple dyadic operators.