Weighted rearrangements and higher integrability results

Michelangelo Franciosi

Displaying similar documents to “Weighted rearrangements and higher integrability results”

A stability result on Muckenhoupt's weights.

Juha Kinnunen (1998)

Publicacions Matemàtiques

Similarity:

We prove that Muckenhoupt's A-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A-weights.

Weighted inequalities on product domains

Shuichi Sato (1989)

Studia Mathematica

Similarity:

Higher integrability with weights.

Kinnunen, Juha (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.

Y. Rakotondratsimba (1994)

Publicacions Matemàtiques

Similarity:

For some pairs of weight functions u, v which satisfy the well-known Muckenhoupt conditions, we derive the boundedness of the maximal fractional operator M (0 ≤ s < n) from L to L with q < p.

On the dual of weighted $H^{1}$ of the half-space

Benjamin Muckenhoupt, Richard Wheeden (1978)

Studia Mathematica

Similarity:

Weighted norm inequalities for maximal functions and singular integrals

R. Coifman, C. Fefferman (1974)

Studia Mathematica

Similarity:

Weighted norm inequalities and Schur's Lemma

Michael Christ (1984)

Studia Mathematica

Similarity:

Weighted inequalities for vector-valued maximal functions and singular integrals

Kenneth Andersen, Russel John (1981)

Studia Mathematica

Similarity:

On the resolvents of dyadic paraproducts.

María Cristina Pereyra (1994)

Revista Matemática Iberoamericana

Similarity:

We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].

The equivalence of two conditions for weight functions

Benjamin Muckenhoupt (1974)

Studia Mathematica

Similarity:

A weighted version of Journé's lemma.

Donald Krug, Alberto Torchinsky (1994)

Revista Matemática Iberoamericana

Similarity:

In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces H (R x R ) and a description of their duals when p is close to 1.