Recent developments in the theory of Walsh series.
Wade, William R. (1982)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On a generalization of the martingale maximal theorem”
Recent developments in the theory of Walsh series.
Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
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An application of two-parameter martingales in harmonic analysis
Ferenc Weisz (1993)
Studia Mathematica
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Some duality results and some inequalities are proved for two-parameter Vilenkin martingales, for Fourier backwards martingales and for Vilenkin and Fourier coefficients.
Criteria for absolute and strong convergence of Fourier series
Muharem Avdispahić (1987)
Czechoslovak Mathematical Journal
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On absolute convergence of multiple Fourier series
Julian Musielak (1958)
Annales Polonici Mathematici
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Conjugate martingale transforms
Ferenc Weisz (1992)
Studia Mathematica
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Characterizations of H₁, BMO and VMO martingale spaces generated by bounded Vilenkin systems via conjugate martingale transforms are studied.
Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
Ferenc Weisz (1996)
Studia Mathematica
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The martingale Hardy space and the classical Hardy space are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from to (0 < p ≤ 1). As a consequence we obtain strong convergence theorems for the partial sums. The classical Hardy-Littlewood inequality is extended to two-parameter Walsh-Fourier and trigonometric-Fourier coefficients. The dual inequalities are also verified...
Almost everywhere convergence of Walsh Fourier series of -functions
N. Ladhawala, D. Pankratz (1976)
Studia Mathematica
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Inequalities relative to two-parameter Vilenkin-Fourier coefficients
Ferenc Weisz (1991)
Studia Mathematica
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