Displaying similar documents to “A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.”

Equivalence of norms in one-sided Hp spaces.

Liliana de Rosa, Carlos Segovia (2002)

Collectanea Mathematica

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One-sided versions of maximal functions for suitable defined distributions are considered. Weighted norm equivalences of these maximal functions for weights in the Sawyer's Aq+ classes are obtained.

Weighted inequalities for square and maximal functions in the plane

Javier Duoandikoetxea, Adela Moyua (1992)

Studia Mathematica

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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.

Weighted norm inequalities for general maximal operators.

Carlos Pérez Moreno (1991)

Publicacions Matemàtiques

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The main purpose of this paper is to use some of the results and techniques in [9] to further investigate weighted norm inequalities for Hardy-Littlewood type maximal operators.

Intrinsic characterizations of distribution spaces on domains

V. Rychkov (1998)

Studia Mathematica

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We give characterizations of Besov and Triebel-Lizorkin spaces B p q s ( Ω ) and F p q s ( Ω ) in smooth domains Ω ⊂ ℝ n via convolutions with compactly supported smooth kernels satisfying some moment conditions. The results for s ∈ ℝ, 0 < p,q ≤ ∞ are stated in terms of the mixed norm of a certain maximal function of a distribution. For s ∈ ℝ, 1 ≤ p ≤ ∞, 0 < q ≤ ∞ characterizations without use of maximal functions are also obtained.