With the help of a radially invariant vector field, we derive inequalities of the Hardy kind, with no boundary terms, for W^(1,p) functions on bounded star domains. Our results are not obtainable from the classical in...With the help of a radially invariant vector field, we derive inequalities of the Hardy kind, with no boundary terms, for W^(1,p) functions on bounded star domains. Our results are not obtainable from the classical inequalities for W_0^(1,p) functions. Unlike in W_0^(1,p),our inequalities admit maximizers that we describe explicitly.展开更多
文摘With the help of a radially invariant vector field, we derive inequalities of the Hardy kind, with no boundary terms, for W^(1,p) functions on bounded star domains. Our results are not obtainable from the classical inequalities for W_0^(1,p) functions. Unlike in W_0^(1,p),our inequalities admit maximizers that we describe explicitly.
