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arxiv: 1902.09139 · v1 · pith:JO3LDADGnew · submitted 2019-02-25 · 🧮 math.FA

A note on the continuity of minors in grand Lebesgue spaces

classification 🧮 math.FA
keywords spacescontinuitydifferentialfunctiongrandminorsaspectsbelonging
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We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spaces were introduced in connection with a problem on minimal integrability of the Jacobian and are useful in certain aspects of geometric function theory and partial differential equations.

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