Abstract. For 1 < p < ∞ we determine the precise range of Lp Sobolev spaces for which the Haar system is an unconditional basis. We also consider the natural extensions to Triebel-Lizorkin spaces and prove upper and lower bounds for norms of projection operators depending on properties of the Haar frequency set. 1
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
AbstractLet V be an n-dimensional real Banach space and let λ(V) denote its absolute projection cons...
Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of b...
A classical result of Paley and Marcinkiewicz asserts that the Haar system h=hkk≥0 on 0,1 forms an u...
In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar syst...
9 pages, to appear in Studia MathematicaInternational audienceWe prove a conjecture of Wojtaszczyk t...
We give a new method for construction of unconditional bases for general classes of Triebel-Lizorkin...
Let h = (hk)k≥0 denote the Haar system of functions on [0, 1]. It is well known that h forms an unco...
AbstractMany important linear operators P:X→S of a linear space X onto a subspace S of X are defined...
It is proved that for an arbitrary extension operator T : W-p(m)(-infinity ,0) --> W-p(m)(-infini...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.170(316) / BLDSC - British Libra...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
AbstractBest approximation in C(X) by elements of a Chebyshev subspace is governed by Haar's theorem...
Abstract. We sharpen the classic a priori error estimate of Babuška for Petrov–Galerkin methods on ...
A classical result of Paley and Marcinkiewicz asserts that the Haar system on [0; 1] forms an uncond...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
AbstractLet V be an n-dimensional real Banach space and let λ(V) denote its absolute projection cons...
Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of b...
A classical result of Paley and Marcinkiewicz asserts that the Haar system h=hkk≥0 on 0,1 forms an u...
In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar syst...
9 pages, to appear in Studia MathematicaInternational audienceWe prove a conjecture of Wojtaszczyk t...
We give a new method for construction of unconditional bases for general classes of Triebel-Lizorkin...
Let h = (hk)k≥0 denote the Haar system of functions on [0, 1]. It is well known that h forms an unco...
AbstractMany important linear operators P:X→S of a linear space X onto a subspace S of X are defined...
It is proved that for an arbitrary extension operator T : W-p(m)(-infinity ,0) --> W-p(m)(-infini...
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.170(316) / BLDSC - British Libra...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
AbstractBest approximation in C(X) by elements of a Chebyshev subspace is governed by Haar's theorem...
Abstract. We sharpen the classic a priori error estimate of Babuška for Petrov–Galerkin methods on ...
A classical result of Paley and Marcinkiewicz asserts that the Haar system on [0; 1] forms an uncond...
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek frac...
AbstractLet V be an n-dimensional real Banach space and let λ(V) denote its absolute projection cons...
Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of b...