Holomorphic functional calculus of Hodge-Dirac operators in L p
نویسندگان
چکیده
منابع مشابه
p-Dirac Operators
We introduce non-linear Dirac operators in R associated to the p-harmonic equation and we extend to other contexts including spin manifolds and the sphere.
متن کاملHolomorphic Functional Calculus and Some Applications
In this note, we present some applications of complex analysis to functional analysis and operator theory. We will focus on some basic facts of holomorphic functional calculus and its applications to analyze the spectrum of operators.
متن کاملoperators on L ( L p ) and ` p - strictly singular operators
A classification of weakly compact multiplication operators on L(Lp), 1 < p < ∞, is given. This answers a question raised by Saksman and Tylli in 1992. The classification involves the concept of `p-strictly singular operators, and we also investigate the structure of general `p-strictly singular operators on Lp . The main result is that if an operator T on Lp , 1 < p < 2, is `p-strictly singula...
متن کاملFunctional Calculus of Dirac Operators and Complex Perturbations of Neumann and Dirichlet Problems
We prove that the Neumann, Dirichlet and regularity problems for divergence form elliptic equations in the half space are well posed in L2 for small complex L∞ perturbations of a coefficient matrix which is either real symmetric, of block form or constant. All matrices are assumed to be independent of the transversal coordinate. We solve the Neumann, Dirichlet and regularity problems through a ...
متن کاملFUNCTIONAL CALCULUS AND SQUARE FUNCTIONS ON NONCOMMUTATIVE L p - SPACES
In this work we investigate semigroups of operators acting on noncommutative L-spaces. We introduce noncommutative square functions and their connection to sectoriality, variants of Rademacher sectoriality, and H∞ functional calculus. We discuss several examples of noncommutative diffusion semigroups. This includes Schur multipliers, q-Ornstein-Uhlenbeck semigroups, and the noncommutative Poiss...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2010
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-010-0082-y