PACKING MEASURE AND DIMENSION OF LOOSELY SELF-SIMILAR SETS

Let K be a loosely self-similar set. Then a-dimensional packing measure of K is the same as that of a Borel subset K( <TEX>$r_1^{alpha}$</TEX>ㆍㆍㆍ<TEX>$r_{m}$</TEX> <TEX>$^{alpha}$</TEX>/) of K. And packing dimension of K is equal to that of KK( <TEX>$r_1^{alpha}$</TEX>ㆍㆍㆍ <TEX>$r_{m}$</TEX> <TEX>$^{alpha}$</TEX>/) and K( <TEX>$r_1^{alpha}$</TEX>ㆍㆍㆍ <TEX>$r_{m}$</TEX> <TEX>$^{alpha}$</TEX>/).X> <TEX>$^{alpha}$</TEX>/)).

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