AbstractWe extend the results of A.S. Belov from single to double Fourier series, which give necessary conditions in terms of the Fourier coefficients for L1-convergence. Our basic tools are Hardy's inequality for the Taylor coefficients of a function in the Hardy space H1 on the unit disk, and the Bernstein–Zygmund inequalities for the derivative of a trigonometric polynomial in L1-norm
AbstractWe extend the class of double null sequences of complex numbers that are of bounded variatio...
AbstractIn this paper we give a condition with respect to Walsh–Fourier coefficients that implies th...
The inequality (*) $(∑_{|n|=1}^{∞} ∑_{|m|=1}^{∞} |nm|^{p-2} |f̂(n,m)|^p)^{1/p} ≤ C_p ∥ƒ∥_{H_p}$ (0 <...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
AbstractWe prove the convergence in L1-norm of the double Fourier series of an integrable function ƒ...
Abstract. It is proved that the complex double Fourier series of an integrable func-tion f (x, y) wi...
Since the trigonometric Fourier series of an integrable function does not necessarily converge to th...
summary:We give necessary conditions in terms of the coefficients for the convergence of a double tr...
summary:We give necessary conditions in terms of the coefficients for the convergence of a double tr...
In this paper we obtain a necessary and sufficient condition for L1-convergence of the Fourier cosin...
Investigated have been multiple Fourier series. The work has been aimed at analyzing conditions of u...
The martingale Hardy space $H_p([0,1)^2)$ and the classical Hardy space $H_p(^2)$ are introduced. We...
A Two-weighted norm inequalities for Calderón- Zygmund singu-lar integrals and Hardy-Littlewood ma...
AbstractWe extend the class of double null sequences of complex numbers that are of bounded variatio...
AbstractIn this paper we give a condition with respect to Walsh–Fourier coefficients that implies th...
The inequality (*) $(∑_{|n|=1}^{∞} ∑_{|m|=1}^{∞} |nm|^{p-2} |f̂(n,m)|^p)^{1/p} ≤ C_p ∥ƒ∥_{H_p}$ (0 <...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
AbstractWe prove the convergence in L1-norm of the double Fourier series of an integrable function ƒ...
Abstract. It is proved that the complex double Fourier series of an integrable func-tion f (x, y) wi...
Since the trigonometric Fourier series of an integrable function does not necessarily converge to th...
summary:We give necessary conditions in terms of the coefficients for the convergence of a double tr...
summary:We give necessary conditions in terms of the coefficients for the convergence of a double tr...
In this paper we obtain a necessary and sufficient condition for L1-convergence of the Fourier cosin...
Investigated have been multiple Fourier series. The work has been aimed at analyzing conditions of u...
The martingale Hardy space $H_p([0,1)^2)$ and the classical Hardy space $H_p(^2)$ are introduced. We...
A Two-weighted norm inequalities for Calderón- Zygmund singu-lar integrals and Hardy-Littlewood ma...
AbstractWe extend the class of double null sequences of complex numbers that are of bounded variatio...
AbstractIn this paper we give a condition with respect to Walsh–Fourier coefficients that implies th...
The inequality (*) $(∑_{|n|=1}^{∞} ∑_{|m|=1}^{∞} |nm|^{p-2} |f̂(n,m)|^p)^{1/p} ≤ C_p ∥ƒ∥_{H_p}$ (0 <...
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