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Solving interpolation problems via generalized eigenvalue minimization
Generalized eigenvalue interpolation control system the analysis of linear matrix inequality
2015/8/12
A number of problems in the analysis and design of control systems may be reformulated as the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affi...
Interpolation of bilinear operators and compactness
interpolation Banach spaces bilinear operators compactness
2012/6/6
The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's com...
Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
interpolation inequality Landau-Kolmogorov type inequality Variable exponent Lebesgue-Sobolev space maximal function operator
2011/10/26
The author shows the interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces by applying the boundedness of the Hardy-Littlewood maximal operator on L^{p(x)}. As applic...
Absolute continuity, Interpolation and the Lyapunov order
Nevanlinna-Pick interpolation representations Hardy algebra absolute continuity Lyapunov order
2011/8/24
Abstract: We extend our Nevanlinna-Pick theorem for Hardy algebras and their representations to cover interpolation at the absolutely continuous points of the boundaries of their discs of representati...