An unusual monotonicity theorem with applications

Malý, J.; Preiss, D.; Zajíček, L.

doi:10.1090/S0002-9939-1988-0934869-3

An unusual monotonicity theorem with applications
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by J. Malý, D. Preiss and L. Zajíček

Proc. Amer. Math. Soc. 102 (1988), 925-932

DOI: https://doi.org/10.1090/S0002-9939-1988-0934869-3

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Abstract:

In the article an unusual monotonicity theorem is proved. It easily implies some usual monotonicity theorems which deal with preponderant and symmetrical derivatives. We also obtain some results concerning one-sided densities of arbitrary linear sets, which are closely related to an O’Malley theorem.

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