30 research outputs found
Several function-theoretic characterizations of Möbius invariant QK spaces
Get PDFAbstractThis paper characterizes the so-called Möbius invariant QK spaces in terms of Carleson-type measures, boundary values, inner factors and absolute values of analytic functions on the unit disk
A generalization of the M. Riesz theorem on conjugate functions and the Zygmung LlogL -theorem to Rd, d â„ 2
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Optimization and rearrangements of the coefficient in the operator d2dt2 â p(t)2 on a finite interval
No full textPotential theoryâselected topics
No full textThe first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis
