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arXiv 1502.02054math.CV
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关于映射的绝对连续性,圆柱的畸变模

On absolute continuity for mappings, distorting moduli of cylinders

R. R. Salimov, E. A. Sevost'yanov

摘要:

本文考虑了空间中关于柱面满足一个模不等式的映射。模的变形通过依赖于某些局部可积函数的积分来控制。证明了上述函数在直线上的绝对连续性

英文摘要:

In the present paper, mappings satisfying one modular inequality with respect to cylinders in a space, are considered. Distorting of modulus is majorized by an integral which depends from some locally integrable function. The result on absolute continuity on lines of the functions mentioned above is proved

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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