Singular integral operators on Lkp.Φ-spaces
نویسندگان
چکیده
منابع مشابه
Cauchy 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 کاملPoly-Bergman spaces and two-dimensional singular integral operators
We describe a direct and transparent connection between the polyBergman type spaces on the upper half-plane and certain two dimensional singular integral operators. Mathematics Subject Classification (2000). 30G30, 45P05, 47B38.
متن کاملBoundedness of Singular Integral Operators On
Eleonor Harboure Beairiz Viviani Presentado pOl" Carlos Segovia Abstract: We study the boundedness of singular integral operators on Orlicz-Hardy spaces H w , in the setting of spaces of homogeneous type. As an application of this result, we obtain a characterization of HwIRn in terms of the Riesz Transforms. § 1. NOTATION AND DEFINITIONS Let X be a set. A function d : X x X -+ IR+ U {OJ shall ...
متن کاملHardy Spaces, Commutators of Singular Integral Operators Related to Schrödinger Operators and Applications
Let L = −∆+ V be a Schrödinger operator on R, d ≥ 3, where V is a nonnegative function, V 6= 0, and belongs to the reverse Hölder class RHd/2. The purpose of this paper is three-fold. First, we prove a version of the classical theorem of Jones and Journé on weak∗-convergence in H L(R ). Secondly, we give a bilinear decomposition for the product space H L(R )×BMOL(R). Finally, we study the commu...
متن کاملCommutators of Multilinear Singular Integral Operators on Non-homogeneous Metric Measure Spaces
Abstract. Let (X, d, μ) be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called nonhomogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with RBMO(μ) function on non-homogeneous metric measure spaces in m-multiple Lebesgue spa...
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: Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics
سال: 1987
ISSN: 1883-4345,0579-3068
DOI: 10.5036/bfsiu1968.19.71