AbstractThe Walsh system will be considered in the Kaczmarz rearrangement. We show that the maximal operator σ* of the (C,1)-means of the Walsh–Kaczmarz–Fourier series is bounded from the dyadic Hardy space Hp into Lp for every 1/2<p⩽1. From this it follows by standard arguments that σ* is of weak type (1, 1) and bounded from Lq into Lq if 1<q⩽∞
Abstract. The main aim of this paper is to prove that the maximal operator of a subsequence of the (...
AbstractThe boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh–Fourier series is ...
AbstractIn the paper we prove that the maximal operator of the C,α-means of cubical partial sums of ...
AbstractThe Walsh system will be investigated in the Kaczmarz rearrangement. In an earlier paper we ...
AbstractThe Walsh system will be considered in the Kaczmarz rearrangement. We show that the maximal ...
Let G be the Walsh group. For $f ∈ L^1(G)$ we prove the a. e. convergence σf → f(n → ∞), where $σ_n$...
Abstract. Let G be the Walsh group. In this paper we prove for f ∈ L1(G) integrable functions the a....
Abstract. Simon proved that the maximal operator of the (C,α)-means of the Fourier series with respe...
AbstractThe maximal operators for Cesàro or (C,α) and Riesz summability with respect to Walsh–Fourie...
summary:In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\i...
summary:In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\i...
summary:In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\i...
AbstractWe prove that for the N-dimensional Walsh–Fourier series the maximal operator of the Marcink...
AbstractThe main aim of this paper is to prove that the maximal operator σ∗ of the Marcinkiewicz–Fej...
Abstract. The main aim of this paper is to prove that the maximal operator σ∗ of the Fejér means of...
Abstract. The main aim of this paper is to prove that the maximal operator of a subsequence of the (...
AbstractThe boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh–Fourier series is ...
AbstractIn the paper we prove that the maximal operator of the C,α-means of cubical partial sums of ...
AbstractThe Walsh system will be investigated in the Kaczmarz rearrangement. In an earlier paper we ...
AbstractThe Walsh system will be considered in the Kaczmarz rearrangement. We show that the maximal ...
Let G be the Walsh group. For $f ∈ L^1(G)$ we prove the a. e. convergence σf → f(n → ∞), where $σ_n$...
Abstract. Let G be the Walsh group. In this paper we prove for f ∈ L1(G) integrable functions the a....
Abstract. Simon proved that the maximal operator of the (C,α)-means of the Fourier series with respe...
AbstractThe maximal operators for Cesàro or (C,α) and Riesz summability with respect to Walsh–Fourie...
summary:In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\i...
summary:In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\i...
summary:In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\i...
AbstractWe prove that for the N-dimensional Walsh–Fourier series the maximal operator of the Marcink...
AbstractThe main aim of this paper is to prove that the maximal operator σ∗ of the Marcinkiewicz–Fej...
Abstract. The main aim of this paper is to prove that the maximal operator σ∗ of the Fejér means of...
Abstract. The main aim of this paper is to prove that the maximal operator of a subsequence of the (...
AbstractThe boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh–Fourier series is ...
AbstractIn the paper we prove that the maximal operator of the C,α-means of cubical partial sums of ...
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