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The operator of singular integration
1991In this chapter the most important properties of the operator of singular integration $$(S_{\Gamma\varphi})(t)=\frac{1}{\pi i}\underset{\Gamma}{\int}\frac{\varphi(\tau )}{\tau -t}d\tau$$ as well as various theorems on the boundedness of this operator will be explained. Moreover, fundamental properties of the operator adjoint to SΓ are proved and
Israel Gohberg, Naum Krupnik
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Class of singular integral operators
Ukrainian Mathematical Journal, 1991The author formulates conditions for the continuity on symmetric spaces of convolution-type integral operators whose kernels are singular at the origin. In particular, sufficient conditions are indicated for the continuity of Hilbert operators, and a characterization of such operators is obtained in a certain class of integral operators.
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Boundedness of Singular Integral Operators on Local Hardy Spaces and Dual Spaces
Potential Analysis, 2020Wei Ding, Yongsheng Han, Yue-Ping Zhu
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Certain singular integral operators revisited
Applicable Analysis, 1988This note presents an alternate approach to the analysis of the composition of some (classical) singular integral oprators that arise in a number of applications. It is based on the facts that certain naturally paired operators have the same range and are injective.
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Toeplitz and Singular Integral Operators
2003In this chapter we develop the theory of Laurent and Toeplitz operators for the case when the underlying space is l p with 1 ≤ p < ∞. To keep the presentation as simple as possible we have chosen a special class of symbols, namely those that are analytic in an annulus around the unit circle.
Israel Gohberg +2 more
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Weak Type Estimates of Singular Integral Operators on Morrey–Banach Spaces
Integral equations and operator theory, 2019K. Ho
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Singular Integral Operators with Bergman–Besov Kernels on the Ball
Integral equations and operator theory, 2019H. Kaptanoğlu, A. E. Üreyen
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Lectures on Singular Integral Operators
1991Examples and basic theory Littlewood-Paley theory BMO, Carleson measures and paraproducts The T(1) theorem Growth estimates Spaces of homogeneous type Analytic capacity Inverses of singular integral operators.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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