Research Article Removable Singularities of WT -Differential Forms and Quasiregular Mappings
نویسندگان
چکیده
Let α be a differential form defined on an open set D ⊂ . If (D) is a class of functions defined on D, then we say that the differential form α is in this class provided that αi1···ik ∈ (D). For instance, the differential form α is in the class Lp(D) if all its coefficients are in this class. A differential form α of degree k on the manifold with coefficients αi1···ik ∈ L loc( ) is called weakly closed if for each differential form β, degβ = k+1, with compact support suppβ = {m∈ : β = 0} in and with coefficients in the classW q,loc( ), 1/p+1/q = 1, 1≤ p, q ≤∞, we have
منابع مشابه
Singularities of quasiregular mappings on Carnot groups
In 1970 Poletskĭı applied the method of the module of a family of curves to describe behavior of quasiregular mappings (in another terminology mappings with bounded distortion) in Rn. In the present paper we generalize a result by Poletskĭı and study a singular set of a quasiregular mapping using the method of the module of a families of curves on Carnot groups.
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تاریخ انتشار 2007