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math.FA2025
BMO-Interpolations and Jump Detection for Functions in
Paz Hashash, Arkady Poliakovsky
A generalization of the John--Nirenberg inequality is established. As a consequence, local and global --interpolation inequalities in Lorentz spaces are obtained for…
math.AP2025
The refined area formula for Sobolev mappings
Paz Hashash
We establish the area formula for change-of-variable mappings in the Sobolev space . Our approach relies on constructing Lipschitz approximations of Sobolev f…