Titlebook: Classical and Modern Potential Theory and Applications; K. GowriSankaran,J. Bliedtner,I. Netuka Book 1994 Kluwer Academic Publishers 1994

填满

antipsychotic

没有希望

NOCT

Carlton A. Taft,Jose Gabriel Solano Canchayaualities leads to a lower estimate of the isoperimetric deficit of nearly spherical, convex domains . in .. in terms of the asymmetry of ., which is essentially the volume of the symmetric difference of . and a suitable ball.

Negligible

Radial Limiting Behaviour of Harmonic and Super-Harmonic Functions,result. The role of holomorphic and harmonic approximation theorems in the production of counterexamples is indicated. Sections 1 and 2 are largely a summary of joint work with M. Goldstein [6]; Section 4 mainly concerns joint work with C.S. Nelson [7]; Sections 3 and 5 contain brief remarks on hitherto unpublished results of the author.

Pituitary-Gland

,Excessive Functions and Excessive Measures: Hunt’s Theorem on Balayages, Quasi-Continuity,he classical situation these are the countable sums of bounded continuous potentials with compact carrier.) In the particular case of excessive measures we prove that the quasi-continuous elements are exactly the potentials of measures which does not charge the semi-polar sets.

Accede

Duality of H-Cones,t has been unknown how well an .-cone can be embedded into its second dual. We have proved earlier that an .-cone is always specifically solid in its second dual and even solid and increasingly dense if a special unit exists. In this paper we shall improve these results so that they cover all potential-theoretic examples.

细颈瓶

,Poincaré Inequalities in ,,-Norm for the Sphere and a Strong Isoperimetric Inequality in R,,ualities leads to a lower estimate of the isoperimetric deficit of nearly spherical, convex domains . in .. in terms of the asymmetry of ., which is essentially the volume of the symmetric difference of . and a suitable ball.

丰富

定点

Lionel Pournin,Thomas M. Liebling process does not have continuous trajectories like Brownian motion. Based on this characterization and the associated potential theory, we characterize the solutions of (-Δ).. = 0 as a certain class of “harmonic” functions, and we give conditions under which the solution is continuous.