On a generalization of the martingale maximal theorem

F. Schipp

Displaying similar documents to “On a generalization of the martingale maximal theorem”

Recent developments in the theory of Walsh series.

Wade, William R. (1982)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.

Anthony Carbery, Fernando Soria (1988)

Revista Matemática Iberoamericana

Similarity:

An application of two-parameter martingales in harmonic analysis

Ferenc Weisz (1993)

Studia Mathematica

Similarity:

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

Similarity:

On absolute convergence of multiple Fourier series

Julian Musielak (1958)

Annales Polonici Mathematici

Similarity:

Conjugate martingale transforms

Ferenc Weisz (1992)

Studia Mathematica

Similarity:

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

Similarity:

The martingale Hardy space $H_{p} ({[0, 1)}^{2})$ and the classical Hardy space $H_{p} (^{2})$ 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 $H_{p}$ to $L_{p}$ (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 $H^{1}$ -functions

N. Ladhawala, D. Pankratz (1976)

Studia Mathematica

Similarity:

Inequalities relative to two-parameter Vilenkin-Fourier coefficients

Ferenc Weisz (1991)

Studia Mathematica

Similarity: