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Resumen de A note on fractional integral operators defined by weights and non-doubling measures

Óscar Blasco de la Cruz Árbol académico, Vicente Casanova, Joaquín Motos Izquierdo Árbol académico

  • Given a metric measure space (X,d,μ), a weight w defined on (0,∞) and a kernel kw(x,y) satisfying the standard fractional integral type estimates, we study the boundedness of the operators Kwf(x)=∫Xkw(x,y)f(y)dμ(y) and K~wf(x)=∫X(kw(x,y)−kw(x0,y))f(y)dμ(y) on Lebesgue spaces Lp(μ) and generalized Lipschitz spaces Lipϕ, respectively, for certain range of the parameters depending on the n-dimension of μ and some indices associated to the weight w.

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