Title: Best constants in one-sided weak-type inequalities
Authors: Kuijlaars, Arno # ×
Issue Date: 1998
Publisher: International Press
Series Title: Methods and Applications of Analysis vol:5 issue:1 pages:95-108
Abstract: We prove that the best constant in the one-sided weak 1-1 inequality for the Hilbert transform m({~f(x) >= lambda}) <= K ||f||_1/lambda is equal to K=1. This is used to obtain the best constant in an inequality of P.B. Borwein dealing with logarithmic derivatives of rational functions. In addition, we find best constants in various related inequalities.
ISSN: 1073-2772
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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