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Convergence on almost every line for functions with gradient in \(L^p(R^n)\). (English) Zbl 0292.26013


MSC:

26B05 Continuity and differentiation questions
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References:

[1] L.D. KUDRJAVCEV, Svoǐctba graničnyh značeniǐ funkciǐ iz vesovyh prostranctv i ih priloženija k kraevym zadačam. Mehanika Splošnoǐ sredy i rodstvennye problemy analiza. Moskva 1972.
[2] S.V. USPENSKIǏ, O teoremah vloženija dlja vesovyh klassov, Trudi Mat. Instta AN SSSR, 60 (1961), 282-303.
[3] V. PORTNOV, Doklady AN SSSR, to appear.
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