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VIDEO LIBRARY |
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
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Hardy-type inequalities with mixed weights A. I. Nazarovab a Saint Petersburg State University b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences |
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Abstract: We discuss the best constant \begin{equation*} m_{p,a,{b}}(\mathcal C)\int\limits_{\mathcal C}|y|^{a}|z|^{-{{b}}-p}|u|^p~\!dz\le \int\limits_{\mathcal C}|y|^{a}|z|^{-{{b}}}|\nabla u|^p~\!dz~, \quad u\in C^\infty_c({\mathcal C})~\!, \end{equation*} where The talk is based on the joint work with G. Cora and R. Musina (Italy). |