This is an expository article discussing various approaches which a number of authors have used in their attempt to improve Lebesgue measure in Rn. Some of these approaches result in extensions which ...

In [Problems on self-similar sets and self-affine sets: An update, Birkhäuser, Basel, 2000] Peres and Solomyak ask the question: Do there exist self-similar sets with positive Lebesgue measure and ...

Grand Lebesgue spaces have emerged as a versatile framework extending the classical Lebesgue spaces, allowing for a refined control over integrability properties of functions. These spaces accommodate ...

THE author of this book complains that while Lebesgue integration is everywhere firmly established as an essential part of the theory of functions, its treatment in English text-books “remains ...