The estimation of the area of a disk image for Sobolev classes
classification
🧮 math.CV
keywords
areadiskestimationimagesobolevanalogangularclass
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For regular homeomorphisms of Sobolev class $W^{1,1}_{\textrm{loc}}$ having the Luzin $N$-property, it is established the estimation of the area of a disk image in terms of an angular dilatation. As a corollary, the analog of the well-known Ikoma-Schwartz lemma for such mappings is obtained.
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