On the factorizability of maps of $S^n$ into $S^n$
نویسندگان
چکیده
منابع مشابه
On the distributional Jacobian of maps from SN into SN in fractional Sobolev and Hölder spaces
H. Brezis and L. Nirenberg proved that if (gk) ⊂ C(S , S ) and g ∈ C(S , S ) (N ≥ 1) are such that gk → g in BMO(S ), then deg gk → deg g. On the other hand, if g ∈ C(S , S ), then Kronecker’s formula asserts that deg g = 1 |SN | ∫ SN det(∇g) dσ. Consequently, ∫ SN det(∇gk) dσ converges to ∫ SN det(∇g) dσ provided gk → g in BMO(S N ). In the same spirit, we consider the quantity J(g, ψ) := ∫ SN...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1958
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-45-1-138-142