Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series.
Almost everywhere convergence of Walsh Fourier series of -functions
Almost everywhere summability of Laguerre series
We apply a construction of generalized twisted convolution to investigate almost everywhere summability of expansions with respect to the orthonormal system of functions , n = 0,1,2,..., in , a ≥ 0. We prove that the Cesàro means of order δ > a + 2/3 of any function , 1 ≤ p ≤ ∞, converge to f a.e. The main tool we use is a Hardy-Littlewood type maximal operator associated with a generalized Euclidean convolution.
Almost everywhere summability of Laguerre series. II
Using methods from [9] we prove the almost everywhere convergence of the Cesàro means of Laguerre series associated with the system of Laguerre functions , n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the weights theory. We also take the opportunity to comment and slightly improve on our results from [9].
An Addition Theorem for Some q-Hahn Polynomials.
An algebra of integral operators.
An application of two-parameter martingales in harmonic analysis
Some duality results and some inequalities are proved for two-parameter Vilenkin martingales, for Fourier backwards martingales and for Vilenkin and Fourier coefficients.
An orthonormal system on the construction of the generalized Cantor set.
Analysis on the unit ball and on the simplex.
Application Leindler spaces to the real interpolation method.
Applications of P-adic generalized functions and approximations by a system of P-adic translations of a function.
Approximate properties of the de la Vallée Poussin means for the discrete Fourier-Jacobi sums.
Approximation by double Walsh polynomials.
Approximation by weighted means of Walsh-Fourier series.
Approximation d'une fonction définie sur une sphère dans une base de fonctions sphériques de Legendre
Asymptotic behaviour of partial sums of Fourier-Legendre series.
Bases d'ondelettes sur les courbes corde-arc, noyau de Cauchy et spaces de Hardy associés.
Se construyen dos bases incondicionales de L2(R) adaptadas al estudio de la integral de Cauchy sobre una curva cuerda-arco, y se extiende la construcción a L2(Rd). Esto permite obtener una prueba simple del "Teorema T(b)" de G. David, J.L. Journé u S. Semmes. Se define un espacio de Hardy ponderado Hb1(Rd) caracterizado por las bases anteriores. Finalmente se aplican estos métodos al estudio del potencial de doble capa sobre una superficie lipschitziana.
Best approximation by Vilenkin-like systems.
Biorthogonalité et théorie des opérateurs.
Boundness of Cesàro means operators.