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Weighted inequalities for rough square functions through extrapolation

100%

Duoandikoetxea J., Seijo E.

Studia Mathematica

2002

tom 149

nr 3

239-252

Weighted inequalities for some square functions are studied. L² results are proved first using the particular structure of the operator and then extrapolation of weights is applied to extend the results to other $L^{p}$ spaces. In particular, previous results for square functions with rough kernel are obtained in a simpler way and extended to a larger class of weights.

Weighted inequalities for square and maximal functions in the plane

100%

Duoandikoetxea J., Moyua A.

Studia Mathematica

1992

tom 102

nr 1

39-47

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.

Ograniczanie wyników

2 Studia Mathematica

2 Duoandikoetxea J.

1 Moyua A.

1 Seijo E.

1 2002

1 1992

Wyniki wyszukiwania

Weighted inequalities for rough square functions through extrapolation

Weighted inequalities for square and maximal functions in the plane