Results 1 to 10 of about 242,613 (344)
Singular stochastic integral operators [PDF]
Analysis & PDE, 2020 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.
Lorist, Emiel, Veraar, Mark
core +7 more sources
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
openalex +6 more sources
Wavelet representation of singular integral operators
Mathematische Annalen, 2022 This article develops a novel approach to the representation of singular integral operators of Calder n-Zygmund type in terms of continuous model operators, in both the classical and the bi-parametric setting. The representation is realized as a finite sum of averages of wavelet projections of either cancellative or noncancellative type, which are ...
Di Plinio F., Wick B. D., Williams T.
openaire +4 more sources
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
core +8 more sources
On the Composition of Rough Singular Integral Operators [PDF]
The Journal of Geometric Analysis, 2020 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 operators with rough homogeneous kernels on $L^p(\mathbb{R}^d,\,w)$, $p\in (1,\,\infty)$, which is smaller
Guoen Hu, Xudong Lai, Qingying Xue
openaire +4 more sources
Variable Anisotropic Singular Integral Operators
Constructive Approximation, 2023 We introduce the class of variable anisotropic singular integral operators associated to a continuous multi-level ellipsoid cover $ $ of $\mathbb{R}^n$ introduced by Dahmen, Dekel, and Petrushev \cite{ddp}. This is an extension of the classical isotropic singular integral operators on $\mathbb{R}^n$ of arbitrary smoothness and their anisotropic ...
Bownik, Marcin, Li, Baode, Li, Jinxia
openaire +3 more sources
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
openalex +3 more sources
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
openalex +3 more sources
On the spectral theory of singular integral operators [PDF]
Transactions of the American Mathematical Society, 1960 Walter Koppelman
openalex +6 more sources
Pettis integrals and singular integral operators [PDF]
Illinois Journal of Mathematics, 1994 Brian Jefferies, Susumu Okada
openalex +3 more sources