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to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional

to the domain boundary. We prove an isoperimetric inequality generalizing theorems derived by the Schwarz

of them is connected with Leavitt and Ungar's inequality.

. The extremal domains are ellipsoids of a special kind. Thus, we obtain a generalization of the isoperimetric

parameter. A particular case of the proved result is the Payne inequality for the torsional rigidity of G

is a generalization of classical isoperimetric inequalities of St.Venant-Pólya and the Payne

of them is connected with Leavitt and Ungar's inequality.

parameter. A particular case of the proved result is the Payne inequality for the torsional rigidity of G

to the domain boundary. We prove an isoperimetric inequality generalizing theorems derived by the Schwarz

-norms of the warping function satisfy sharp isoperimetric inequalities, which, besides the norms, can contain

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