On the convergence of functions from a Sobolev space satisfying special integral estimates

• Date: 2006
• Main Authors: Kovalevskii, A. A., Ковалевский, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3445
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For sequences of functions from a Sobolev space satisfying special integral estimates, we, in one case, establish a lemma on the choice of pointwise convergent subsequences and, in a different case, prove a theorem on convergence of the corresponding sequences of generalized derivatives in measure....