Page 1

Displaying 1 – 14 of 14

Showing per page

Variations on Yano's extrapolation theorem.

David E. Edmunds, Miroslav Krbec (2005)

Revista Matemática Complutense

We give very short and transparent proofs of extrapolation theorems of Yano type in the framework of Lorentz spaces. The decomposition technique developed in Edmunds-Krbec (2000) enables us to obtain known and new results in a unified manner.

Volume ratios in L p -spaces

Yehoram Gordon, Marius Junge (1999)

Studia Mathematica

There exists an absolute constant c 0 such that for any n-dimensional Banach space E there exists a k-dimensional subspace F ⊂ E with k≤ n/2 such that i n f e l l i p s o i d ε B E ( v o l ( B E ) / v o l ( ε ) ) 1 / n c 0 i n f z o n o i d Z B F ( v o l ( B F ) / v o l ( Z ) ) 1 / k . The concept of volume ratio with respect to p -spaces is used to prove the following distance estimate for 2 q p < : s u p F p , d i m F = n i n f G L q , d i m G = n d ( F , G ) c p q n ( q / 2 ) ( 1 / q - 1 / p ) .

Currently displaying 1 – 14 of 14

Page 1