Boundedness on inhomogeneous Lipschitz spaces of fractional integrals singular integrals and hypersingular integrals associated to non-doubling measures
- Autores: A. Eduardo Gatto
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 60, Fasc. 1, 2009, págs. 101-114
- Idioma: español
- DOI: 10.1007/bf03191219
- Enlaces
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Resumen
In the context of a measure metric space whose measure satisfies a $n$-dimensional growth condition, we prove $T1$ type necessary and sufficient conditions for the boundedness of fractional integrals and singular integrals on inhomogeneous Lipschitz spaces. We also show that hypersingular integrals are bounded on these spaces.
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