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20022012
most citedBoundedness properties of fractional integral operators associated to non--doubling measures

1 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

math.CA2012

Riesz Potentials, Bessel Potentials and Fractional Derivatives on Triebel-Lizorkin spaces for the Gaussian Measure

A. Eduardo Gatto, Ebner Pineda, Wilfredo Urbina

In a previous paper the boundedness properties of Riesz Potentials, Bessel potentials and Fractional Derivatives were studied in detail on Gaussian Besov-Lipschitz spaces $B_{p,q}^…

math.CA2011

Riesz Potentials, Bessel Potentials and Fractional Derivatives on Besov-Lipschtz spaces for the Gaussian Measure

A. Eduardo Gatto, Ebner Pineda, Wilfredo Urbina

In this paper we will study the boundedness of Riesz Potentials, Bessel potentials and Fractional Derivatives on Gaussian Besov-Lipschitz spaces . Also these result…

math.CA2009

On Gaussian Lipschitz spaces and the boundedness of Fractional Integrals and Fractional Derivatives on them

A. Eduardo Gatto, Wilfredo Urbina

In this paper we introduce Lipschitz spaces with respect to the Gaussian measure, and study the boundedness of the fractional integral and fractional derivative operators on them.T…

math.CT2008

Boundedness on inhomogeneous Lipschitz spaces of fractional integrals, singular integrals and hypersingular integrals associated to non-doubling measures

A. Eduardo Gatto

In the context of a finite measure metric space whose measure satisfies a growth condition, we prove "T1" type necessary and sufficient conditions for the boundedness of fractional…

math.FA2002★ 1 cited

Boundedness properties of fractional integral operators associated to non--doubling measures

Jose Garcia-Cuerva, A. Eduardo Gatto

The main purpose of this paper is to investigate the behaviour of fractional integral operators associated to a measure on a metric space satisfying just a mild growth condition, n…

math.FA2002★ 1 cited

Lipschitz spaces and Calderon-Zygmund operators associated to non-doubling measures

Jose Garcia-Cuerva, A. Eduardo Gatto

In the setting of with an dimensional measure we give several characterizations of Lipschitz spaces in terms of mean oscillations involving We also show that L…