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- W2895500598 abstract "Let $(X,rho,mu)_{d,theta}$ be a space of homogeneous type which includes metric measure spaces and some fractals, namely, $X$ is a set, $rho$ is a quasi-metric on $X$ satisfying that there exist constants $C_0> 0$ and $theta in (0, 1]$ such that for all $x, x^{prime}, y in X$, $$|rho(x, y) - rho(x^{prime}, y)| leqslant C_{0}rho(x, x^{prime})^theta[rho(x, y) + rho(x^{prime}, y)]^{1-theta},$$ and $mu$ is a nonnegative Borel regular measure on $X$ satisfying that for some $d > 0$, all $x in X$ and all $0 lt r lt mathrm{diam} X$, $$mu({y in X : rho(x,y) lt r}) sim r^{d}.$$ In this paper, the authors establish the inhomogeneous discrete Calderón reproducing formulae on spaces of homogeneous type associated to a given special para-accretive function introduced by G. David, which will pave the way for developing the theory of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type associated to a given special para-accretive function." @default.
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- W2895500598 date "2005-01-01" @default.
- W2895500598 modified "2023-09-26" @default.
- W2895500598 title "Inhomogeneous discrete Calderón reproducing formulae associated to para-accretive functions on metric measure spaces" @default.
- W2895500598 doi "https://doi.org/10.7169/facm/1538186600" @default.
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