Results 11 to 20 of about 248,172 (367)

Definability of singular integral operators on Morrey–Banach spaces

open access: yes, 2020
We give a definition of singular integral operators on MorreyBanach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents.
K. Ho
semanticscholar   +1 more source

Weakly Canceling Operators and Singular Integrals [PDF]

open access: yesProceedings of the Steklov Institute of Mathematics, 2021
12 ...
openaire   +2 more sources

Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces.
Jinyun Qi, Xuefang Yan, Wenming Li
doaj   +1 more source

FREDHOLM PROPERTY OF COMPOSITE TWO-DIMENSIONAL INTEGRAL OPERATORS WITH HOMOGENEOUS SINGULAR-TYPE KERNELS IN pL SPACE

open access: yesAdvanced Engineering Research, 2014
The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak   +1 more
doaj   +1 more source

BCR algorithm and the $T(b)$ theorem [PDF]

open access: yes, 2007
We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
core   +3 more sources

Analytic Singular Integral Operators [PDF]

open access: yesAmerican 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 ...
openaire   +3 more sources

Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory [PDF]

open access: yes, 1997
We construct gauge invariant operators for singular knots in the context of Chern-Simons gauge theory. These new operators provide polynomial invariants and Vassiliev invariants for singular knots.
Akutsu   +57 more
core   +2 more sources

Characterization of compactness of commutators of bilinear singular integral operators [PDF]

open access: yesProceedings of the American Mathematical Society, 2017
The commutators of bilinear Calder\'on-Zygmund operators and point-wise multiplication with a symbol in $cmo$ are bilinear compact operators on product of Lebesgue spaces. This work shows that, for certain non-degenerate Calder\'on-Zygmund operators, the
Lucas Chaffee   +4 more
semanticscholar   +1 more source

Fourier integral operators with fold singularities. [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1994
Sharp \(L^ 2 \to L^ q_ \alpha\) estimates are proved for a class of Fourier integral operators with associated canonical relation \({\mathcal C} \subset T^*X \times T^*Y\). It is assumed that one of the projection to \({\mathcal C} \to T^*X\) or \({\mathcal C} \to T^*Y\) is a fold or a submersion with folds.
Greenleaf, Allan, Seeger, Andreas
openaire   +1 more source

Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

open access: yesAbstract and Applied Analysis, 2014
We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce
Chaoqiang Tan
doaj   +1 more source

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