Add to ORKGFor a bounded domain D with fractal boundary we consider a Besov space on ∂D, with respect to a measure corresponding to the fractal dimension of ∂D. We define double layer potentials of functions in the Besov space and discuss the existence of nontangential limits of the double layer potentials, with an exceptional set, and estimate the size of the exceptional set by using a Hausdorff measure depending on the order of the Besov space
We consider some elliptic boundary value problems in a self-similar ramified domain of R2 with a fra...
Within the new concept of a local iterated function system (local IFS), we consider a class of attra...
The aim of this note is to describe the formulation of some variational principles, involving a laye...
Proceedings of The First Symposium on Non-Linear Analysis : CONVEXITY, CHAOS AND FRACTALS / edited b...
Let Ω_D be a bounded cylinder with fractal lateral boundary S_D. We define a generalized layer heat ...
The Hausdorff dimension of the graphs of the functions in Hölder and Besov spaces (in this case with...
We define two Besov spaces on the boundary of a bounded domain with fractalboundary and show that tw...
AbstractWe study the Besov regularity of conformal mappings for domains with rough boundary based on...
Dedicated to the memory of Lars Hedberg and his contributions to nonlinear potential theory Abstract...
Abstract. We introduce potential spaces on fractal metric spaces, investigate their embedding theore...
Consider a bounded domain D with fractal boundary in R^d such that ∂D is a β-set (d-1≦β<d). Under an...
We introduce the notion of boundary representation for fractal Fourier expansions, starting with a f...
We introduce the notion of boundary representation for fractal Fourier expansions, starting with a f...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
This monograph presents a comprehensive treatment of second order divergence form elliptic operators...
We consider some elliptic boundary value problems in a self-similar ramified domain of R2 with a fra...
Within the new concept of a local iterated function system (local IFS), we consider a class of attra...
The aim of this note is to describe the formulation of some variational principles, involving a laye...
Proceedings of The First Symposium on Non-Linear Analysis : CONVEXITY, CHAOS AND FRACTALS / edited b...
Let Ω_D be a bounded cylinder with fractal lateral boundary S_D. We define a generalized layer heat ...
The Hausdorff dimension of the graphs of the functions in Hölder and Besov spaces (in this case with...
We define two Besov spaces on the boundary of a bounded domain with fractalboundary and show that tw...
AbstractWe study the Besov regularity of conformal mappings for domains with rough boundary based on...
Dedicated to the memory of Lars Hedberg and his contributions to nonlinear potential theory Abstract...
Abstract. We introduce potential spaces on fractal metric spaces, investigate their embedding theore...
Consider a bounded domain D with fractal boundary in R^d such that ∂D is a β-set (d-1≦β<d). Under an...
We introduce the notion of boundary representation for fractal Fourier expansions, starting with a f...
We introduce the notion of boundary representation for fractal Fourier expansions, starting with a f...
116pagesTake an open domain Ω ⊂ R n whose boundary may be composed of pieces of different dimensions...
This monograph presents a comprehensive treatment of second order divergence form elliptic operators...
We consider some elliptic boundary value problems in a self-similar ramified domain of R2 with a fra...
Within the new concept of a local iterated function system (local IFS), we consider a class of attra...
The aim of this note is to describe the formulation of some variational principles, involving a laye...