Add to ORKGWe show that a general Walsh series is the Walsh-Fourier series of a function f ∈ Lp[0, 1] for 1 ≤ p < ∞ if and only if its sequence of partial sums contains a relatively weakly compact subsequence. Several other criteria are established for the case where f ∈ LΦ[0, 1], the Orlicz space generated by an N-function Φ
and the function f is of bounded partial variation, then the N-dimensional Walsh-Fouerie series of t...
AbstractWhen it is desired to represent a function of n variables by a series of the Fourier type, i...
Abstract. In this paper we prove that the maximal operator of the subse-quence of logarithmic means ...
We show that a general Walsh series is the Walsh-Fourier series of a function ∈ Lp[0,1] for 1 ≤ p 〈...
AbstractFor any separable Orlicz spaceLNwe describe all Orlicz subspaces in which every function can...
We prove the following theorem: given a lacunary sequence of integers {nj}, the subsequences Fnj f a...
We prove the following theorem: given a lacunary sequence of integers {nj}, the subsequences Fnj f a...
We prove a weak-Lp bound for the Walsh-Carleson operator for p near 1, improving on a theorem of Sjö...
We prove a weak-Lp bound for the Walsh-Carleson operator for p near 1, improving on a theorem of Sjö...
AbstractFor any separable Orlicz spaceLNwe describe all Orlicz subspaces in which every function can...
AbstractWhen it is desired to represent a function of n variables by a series of the Fourier type, i...
There exists a series in the Walsh system {ϕn} of the form i=1 aiϕi, with |ai | ↘ 0, that possess t...
It is known that the function defined by Walsh series with monotone coef ficients is very delicate i...
AbstractWe study the rate of approximation by Nörlund means for Walsh-Fourier series of a function i...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
and the function f is of bounded partial variation, then the N-dimensional Walsh-Fouerie series of t...
AbstractWhen it is desired to represent a function of n variables by a series of the Fourier type, i...
Abstract. In this paper we prove that the maximal operator of the subse-quence of logarithmic means ...
We show that a general Walsh series is the Walsh-Fourier series of a function ∈ Lp[0,1] for 1 ≤ p 〈...
AbstractFor any separable Orlicz spaceLNwe describe all Orlicz subspaces in which every function can...
We prove the following theorem: given a lacunary sequence of integers {nj}, the subsequences Fnj f a...
We prove the following theorem: given a lacunary sequence of integers {nj}, the subsequences Fnj f a...
We prove a weak-Lp bound for the Walsh-Carleson operator for p near 1, improving on a theorem of Sjö...
We prove a weak-Lp bound for the Walsh-Carleson operator for p near 1, improving on a theorem of Sjö...
AbstractFor any separable Orlicz spaceLNwe describe all Orlicz subspaces in which every function can...
AbstractWhen it is desired to represent a function of n variables by a series of the Fourier type, i...
There exists a series in the Walsh system {ϕn} of the form i=1 aiϕi, with |ai | ↘ 0, that possess t...
It is known that the function defined by Walsh series with monotone coef ficients is very delicate i...
AbstractWe study the rate of approximation by Nörlund means for Walsh-Fourier series of a function i...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
and the function f is of bounded partial variation, then the N-dimensional Walsh-Fouerie series of t...
AbstractWhen it is desired to represent a function of n variables by a series of the Fourier type, i...
Abstract. In this paper we prove that the maximal operator of the subse-quence of logarithmic means ...