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Analytic singular integral operators [PDF]
American Journal of Mathematics, 1967 The following paper extends to real analytic manifolds the general theory of singular integral operators as described in [lO] and [13]. The definition of an analytic singular integral operator is made in terms of the kernel of the operator. The symbol of the operator is discussed and in the case of an elliptic operator, a regularity theorem is proved ...
William Margulies
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Pettis integrals and singular integral operators [PDF]
Illinois Journal of Mathematics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brian Jefferies, Susumu Okada
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Singular stochastic integral operators [PDF]
Analysis & PDE, 2019 In this paper we introduce Calder\'on-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove $L^p$-extrapolation results under a H\"ormander condition on the kernel.
E. Lorist, M. Veraar
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Singular integral operators on tent spaces [PDF]
Journal of Evolution Equations, 2012 We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels.
Auscher, Pascal +3 more
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Singular integral operators and spherical harmonics [PDF]
Transactions of the American Mathematical Society, 1956 where the "characteristic function" k(o) is, say, continuous on the unit sphere and its integral vanishes there. In this paper I shall consider the operation (1) as the convolution of f with a distribution K in the sense of Laurent Schwartz, as it has been done already for n=1 by Schwartz himself [17, p. 115].
J. Horváth
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Singular Integrals and Fractional Powers of Operators [PDF]
Transactions of the American Mathematical Society, 1971 Recently R. Wheeden studied a class of singular integral operators, the hypersingular integrals, as operators from L p α ( H ) L_p^\alpha (H) to L p ( H ) ; L p
Michael J. Fisher
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Wavelet representation of singular integral operators
Mathematische Annalen, 2020 This article develops a novel approach to the representation of singular integral operators of Calderón–Zygmund type in terms of continuous model operators, in both the classical and the bi-parametric setting.
Francesco Di Plinio +2 more
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On the Local Boundedness of Singular Integral Operators [PDF]
Transactions of the American Mathematical Society, 1988 The class of singular integral operators whose kernels satisfy the usual smoothness conditions is studied. Let such an operator be denoted by K K . We establish necessary conditions that imply K K has local (weighted) L p {L^p} norm inequalities.
Mark Leckband
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On the Composition of Rough Singular Integral Operators [PDF]
The Journal of Geometric Analysis, 2018 In this paper, we investigate the behavior of the bounds of the composition for rough singular integral operators on the weighted space. More precisely, we obtain the quantitative weighted bounds of the composite operator for two singular integral ...
G. Hu, Xudong Lai, Qingying Xue
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On the spectral theory of singular integral operators [PDF]
Transactions of the American Mathematical Society, 1960 Walter Koppelman
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