Generalized Frank characterizations of Muckenhoupt weights and homogeneous ball Banach Sobolev spaces

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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Families of functionals representing Sobolev norms
Endpoint Schatten class properties of commutators
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Bourgain-Brezis-Mironescu-type characterization of inhomogeneous ball Banach Sobolev spaces on extension domains
Boundedness of fractional integrals on Hardy spaces associated with ball quasi-Banach function spaces
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Bourgain-Morrey spaces meet structure of Triebel-Lizorkin spaces
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Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces
Riesz transform characterization of Hardy spaces associated with ball quasi-Banach function spaces
Extrapolation in general quasi-Banach function spaces
Mixed-norm Herz spaces and their applications in related Hardy spaces
Banach function spaces done right
Some of my favorite open problems

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