Weighted integral Hankel operators with continuous spectrum
نویسندگان
چکیده
منابع مشابه
Distorted Hankel Integral Operators
For α, β > 0 and for a locally integrable function (or, more generally , a distribution) ϕ on (0, ∞), we study integral ooperators G α,β ϕ on L 2 (R +) defined by G α,β ϕ f (x) = R+ ϕ x α + y β f (y)dy. We describe the bounded and compact operators G α,β ϕ and operators G α,β ϕ of Schatten–von Neumann class S p. We also study continuity properties of the averaging projection Q α,β onto the oper...
متن کاملCauchy Singular Integral Operators in Weighted Spaces of Continuous Functions
We study the Cauchy singular integral operator SwI on (−1, 1), where |w| is a generalized Jacobi weight. This operator is considered in pairs of weighted spaces of continuous functions, where the weights u and v are generalized Jacobi weights with nonnegative exponents such that |w| = u/v. We introduce a certain polynomial approximation space which is well appropriated to serve as domain of def...
متن کاملOperators with Singular Continuous Spectrum
The Baire category theorem implies that the family, F,of dense sets G6 in a fixed metric space, X , is a candidate for generic sets since it is closed under countable intersections; and if X is perfect (has no isolated point), then A E F has uncountable intersections with any open ball in X. There is a long tradition of soft arguments to prove that certain surprising sets are generic. For examp...
متن کاملHankel Operators on Weighted Bergman Spaces and Norm Ideals
Consider Hankel operators Hf on the weighted Bergman space L 2 a(B, dvα). In this paper we characterize the membership of (H∗ fHf ) s/2 = |Hf | in the norm ideal CΦ, where 0 < s ≤ 1 and the symmetric gauge function Φ is allowed to be arbitrary.
متن کاملWeighted Bmo and Hankel Operators between Bergman Spaces
We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of C and use them to characterize complex functions f such that the big Hankel operators Hf and Hf̄ are both bounded or compact from a weighted Bergman space into a weighted Lesbegue space with possibly different exponents and different weights. As a consequence, when the symbol function f is holomorphic, we char...
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: Concrete Operators
سال: 2017
ISSN: 2299-3282
DOI: 10.1515/conop-2017-0009