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Estimates of capacity of self-similar measures

Jozef Myjak, Tomasz Szarek (2002)

Annales Polonici Mathematici

We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems ( S i , p i ) : i = 1 , . . . , N where S i are bi-lipschitzean transformations.

Estimates of L p norms for sums of positive functions

Ilgiz Kayumov (2013)

Annales UMCS, Mathematica

We present new inequalities of Lp norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in Lp(ℝ).

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