HYPERHOLOMORPHIC THEORY ON KAEHLER MANIFOLDS

First of all,using the relations (2.3),(2.4),and (2.5),we define a complex Clifford algebra Wn and the Witt basis.Secondly,we utilize the Witt basis to define the operators (6) and (6^) on Kaehler mani...     

LOCAL REGULARITY RESULT IN OBSTACLE PROBLEMS

We obtain a local regularity result for solutions to Kψ,θ-obstacle problem of A-harmonic equation divA(x,u(x),▽u(x))=0,where A:Ω× R×Rn → Rn is a Carath'eodory function satisfying some coercivity and growth conditions with the natural exponent 1pn,the obstacle function ψ≥0,and the boundary data θ∈W1,p(?).     

WEYL＇S TYPE THEOREMS AND HYPERCYCLIC OPERATORS

For a bounded operator T acting on an infinite dimensional separable Hilbert space H,we prove the following assertions: (i) If T or T* ∈ SC,then generalized aBrowder's theorem holds for f(T) for every ...