Add to ORKGWe prove that $\log n$ is an almost everywhere convergence Weyl multiplier for any orthonormal system of non-overlapping Franklin polynomials. It will also be remarked that $\log n$ is the optimal sequence in this context.Comment: more general results for wavelet type systems were obtained in arXiv:2104.0312
AbstractA complete orthonormal system of functions {Θn}n=1∞,Θn∈L[0,1]∞, defined on the closed interv...
The present note is an essential addition to the author's arxiv paper arXiv:2001.01070, concerning g...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...
We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for the orthonormal syste...
AbstractWe investigate the square variation operator V2 (which majorizes the partial sum maximal ope...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
In this paper we prove some essential complements of the paper (J. Inequal. Appl. 2019:171, 2019) on...
We consider the generalized Lorentz space L_ψ,q defined via a continuous and concave function ψ and ...
We prove convergence in norm and pointwise almost everywhere on $L^p$, $p\in (1,\infty)$, for certai...
AbstractWe prove a lemma regarding the linear independence of certain vectors and use it to improve ...
AbstractIn previous work we have shown that the binomial coefficients Cn··kr, r are strongly logarit...
In this paper we derive converge of N\"orlund means of Vilenkin-Fourier series with monotone coeffic...
In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational ...
AbstractWe deal with single and double orthogonal series and give sufficient conditions which ensure...
AbstractIn this article we give new criteria for two complex sequences to have the same excess in th...
AbstractA complete orthonormal system of functions {Θn}n=1∞,Θn∈L[0,1]∞, defined on the closed interv...
The present note is an essential addition to the author's arxiv paper arXiv:2001.01070, concerning g...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...
We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for the orthonormal syste...
AbstractWe investigate the square variation operator V2 (which majorizes the partial sum maximal ope...
AbstractLet {Xn}∞0be the orthonormal system of Legendre polynomials on [−1, 1]. Forf∈C[−1, 1] letSn(...
In this paper we prove some essential complements of the paper (J. Inequal. Appl. 2019:171, 2019) on...
We consider the generalized Lorentz space L_ψ,q defined via a continuous and concave function ψ and ...
We prove convergence in norm and pointwise almost everywhere on $L^p$, $p\in (1,\infty)$, for certai...
AbstractWe prove a lemma regarding the linear independence of certain vectors and use it to improve ...
AbstractIn previous work we have shown that the binomial coefficients Cn··kr, r are strongly logarit...
In this paper we derive converge of N\"orlund means of Vilenkin-Fourier series with monotone coeffic...
In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational ...
AbstractWe deal with single and double orthogonal series and give sufficient conditions which ensure...
AbstractIn this article we give new criteria for two complex sequences to have the same excess in th...
AbstractA complete orthonormal system of functions {Θn}n=1∞,Θn∈L[0,1]∞, defined on the closed interv...
The present note is an essential addition to the author's arxiv paper arXiv:2001.01070, concerning g...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...