By Ravi P. Agarwal,Shusen Ding,Craig Nolder
This monograph is the 1st one to systematically current a chain of neighborhood and international estimates and inequalities for differential types, specifically those that fulfill the A-harmonic equations. The presentation specializes in the Hardy-Littlewood, Poincare, Cacciooli, imbedded and opposite Holder inequalities. vital estimates for operators, similar to homotopy operator, the Laplace-Beltrami operator, and the gradient operator are mentioned next. also, a few similar subject matters corresponding to BMO inequalities, Lipschitz sessions, Orlicz areas and inequalities in Carnot teams are mentioned within the concluding bankruptcy. An abundance of bibliographical references and ancient fabric complement the textual content throughout.
This rigorous presentation calls for a familiarity with themes equivalent to differential types, topology and Sobolev house thought. it's going to function a useful reference for researchers, teachers and graduate scholars in research and partial differential equations and will be used as extra fabric for particular classes in those fields.
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