Creat membership Creat membership
Sign in

Forgot password?

Confirm
  • Forgot password?
    Sign Up
  • Confirm
    Sign In
Creat membership Creat membership
Sign in

Forgot password?

Confirm
  • Forgot password?
    Sign Up
  • Confirm
    Sign In
Collection
For ¥0.57 per day, unlimited downloads CREATE MEMBERSHIP Download

toTop

If you have any feedback, Please follow the official account to submit feedback.

Turn on your phone and scan

home > search >

ON THE Pi(0)(gamma)-COMPLETENESS AND Sigma(0)(gamma)-COMPLETENESS OF MULTIFRACTAL DECOMPOSITION SET

Author:
Olsen, L.  


Journal:
MATHEMATIKA


Issue Date:
2018


Abstract(summary):

The purpose of this paper twofold. Firstly, we establish Pi(0)(gamma)-completeness and Sigma(0)(gamma)-completeness of several different classes of multifractal decomposition sets of arbitrary Borel measures (satisfying a mild non-degeneracy condition and two mild "smoothness" conditions). Secondly, we apply these results to study the Pi(0)(gamma)-completeness and Sigma(0)(gamma)-completeness of several multifractal decomposition sets of self-similar measures (satisfying a mild separation condition). For example, a corollary of our results shows if mu is a self-similar measure satisfying the strong separation condition and mu is not equal to the normalized Hausdorff measure on its support, then the classical multifractal decomposition sets of mu defined by {x is an element of R-d vertical bar lim(r SE arrow 0) log mu(B(x, r))/log r =3D alpha} are Pi(0)(3)-complete provided they are non-empty.


Page:
77---114


VIEW PDF

The preview is over

If you wish to continue, please create your membership or download this.

Create Membership

Similar Literature

Submit Feedback

This function is a member function, members do not limit the number of downloads