摘要

Assuming a separation property for Moran sets, we give a sufficient condition for the s(0)-dimensional upper and lower quantization coefficient for mu of order zero to be both positive and finite, when the quantization dimension exists and equals s(0). For certain product measures associated with multiscale Moran sets, we determine the exact value s(0) of the quantization dimension of order zero and present a subclass of such measures for which the s(0)-dimensional upper and lower quantization coefficient are both positive and finite. Several examples are constructed to illustrate the main results.

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