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math.FA2019
Sharp Sobolev inequalities via projection averages
Philipp Kniefacz, Franz E. Schuster
A family of sharp Sobolev inequalities is established by averaging the length of -dimensional projections of the gradient of a function. Moreover, it is shown that each of…
math.FA2009★ 11 cited
An Asymmetric Affine Pólya--Szegö Principle
Christoph Haberl, Franz E. Schuster, Jie Xiao
An affine rearrangement inequality is established which strengthens and implies the recently obtained affine Pólya--Szegö symmetrization principle for functions on .…