86 citations · 185 across the 36 of their papers we have counts for
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math.FA2015★ 1 cited
Norms supporting the Lebesgue differentiation theorem
Paola Cavaliere, Andrea Cianchi, Luboš Pick +1
A version of the Lebesgue differentiation theorem is offered, where the norm is replaced with any rearrangement-invariant norm. Necessary and sufficient conditions for a norm…
math.FA2015
Banach algebras of weakly differentiable functions
Andrea Cianchi, Luboš Pick, Lenka Slavíková
The question is addressed of when a Sobolev type space, built upon a general rearrangement-invariant norm, on an -dimensional domain, is a Banach algebra under pointwise multipl…