Multivariate rearrangements and Banach function spaces with mixed norms
Multivariate rearrangements and Banach function spaces with mixed norms
Multivariate nonincreasing rearrangement and averaging functions are defined for functions defined over product spaces. An investigation is made of Banach function spaces with mixed norms and using multivariate rearrangements. Particular emphasis is given to the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L left-parenthesis upper P comma upper Q semicolon asterisk right-parenthesis"> …