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This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.
A comprehensive account of Hardy's Z-function, one of the most important functions of analytic number theory.
1994. Years before "homo thug" and "down low" became infamous catchphrases, Omar Little put the "G" in Gangsta on HBO's The Wire, and Lil Nas X became a global pop star ... there was B-BOY BLUES. Revisit or experience for the first time the story that ushered in the Africentric gay fiction genre, and put Black-on-Black male love on both the map and the bestseller lists! SYNOPSIS: Mitchell Crawford always wished, hoped, and dreamed for a RUFFNECK - a hip-hop-lovin', street-struttin', cool posin', crazy crotch-grabbin' brotha. And he finally finds one in Raheim Rivers, who is a vision of lust: six feet tall and 215 pounds of mocha-chocolate muscle. Mitchell knows Raheim will take him for a wal...
This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis.
Explores Thomas Hardy's engagement with Victorian legal debates in his prose fiction. Thomas Hardy's fiction is examined in this book in the context of the seismic legal reforms of the nineteenth century as well as legal discourse in the literature of the era. The book examines the ways in which Hardy's role as a magistrate and his interest in the law impacted fundamentally on his prose fiction. It demonstrates that throughout his prose fiction Hardy engages with contentious legal issues that were debated by legal professionals and literary figures of his day, and argues that Hardy used fiction as a forum to question the extent to which legal reform improved the lives of women and the working classes.The study also looks at the ways in which Hardy deployed criminal plots derived from sensation fiction and reveals that the genre's engagement with legal reform influenced not only his sensation novel Desperate Remedies (1871) but also the plots of his subsequent fiction.