Remarks on Walsh--Fourier multipliers
Copyright policy )Remarks on Walsh--Fourier multipliers
The author investigates special multiplier operators for one- and two-parameter Walsh-Paley systems. These multipliers were defined and partly investigated - with respect to their boundedness from \(H^p\) to \(L^p\) (for some \(p>0\)) - by the author [Acta Sci. Math. 64, No. 1-2, 183-200 (1998; preceding review) and Colloq. Math. 77, No. 1, 9-31 (1998; Zbl 0908.42017)]. In this work several consequences of his previous results are given as well as some additional remarks.
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), quasi-local operators, Linear operators on function spaces (general), Martingales and classical analysis, multipliers, Martingales with discrete parameter, Walsh functions, martingales and Hardy spaces, \(p\)-atoms, Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), quasi-local operators, Linear operators on function spaces (general), Martingales and classical analysis, multipliers, Martingales with discrete parameter, Walsh functions, martingales and Hardy spaces, \(p\)-atoms, Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
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