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Optimal bounds of restricted type for the Hardy operator minus the identity on the cone of radially decreasing functions

100%

Soria J.

Studia Mathematica

2010

tom 197

nr 1

69-79

We find the norm of the Hardy operator minus the identity acting on the cone of radially decreasing functions on minimal Lorentz spaces (restricted type estimates).

Weighted inequalities and the shape of approach regions

63%

García J. L., Soria J.

Studia Mathematica

1999

tom 133

nr 3

261-274

We characterize geometric properties of a family of approach regions by means of analytic properties of the class of weights related to the boundedness of the maximal operator associated with this family.

Transference theory onHardy and Sobolev spaces

63%

Carro M. J., Soria J.

Colloquium Mathematicum

1997

tom 74

nr 1

47-69

We show that the transference method of Coifman and Weiss can be extended to Hardy and Sobolev spaces. As an application we obtain the de Leeuw restriction theorems for multipliers.

Ograniczanie wyników

2 Studia Mathematica

1 Colloquium Mathematicum

3 Soria J.

1 Carro M. J.

1 García J. L.

1 2010

1 1999

1 1997

Wyniki wyszukiwania

Optimal bounds of restricted type for the Hardy operator minus the identity on the cone of radially decreasing functions

Weighted inequalities and the shape of approach regions

Transference theory onHardy and Sobolev spaces