Singular integral operators
Weighted boundedness of multilinear singular integral operators
... when singular integral operators are replaced by the fractional integral ...the singular integral operators and Lipschitz functions on Triebel-Lizorkin and L p (R n ) ( ...
15
A study on pointwise approximation by double singular integral operators
... nonlinear singular integral operators [, ], a family of nonlinear m-singular integral operators [], Fejer-Type singular integrals [], moment type operators ...
10
M2 Type sharp estimates and boundedness on a Morrey space for Toeplitz type operators associated to singular integral operators satisfying a variant of Hörmander’s condition
... when singular integral operators are replaced by the frac- tional integral ...Toeplitz-type operators related to the singular integral operators and strongly ...
9
Sharp maximal function inequalities and boundedness for commutators related to generalized fractional singular integral operators
... some singular integral operators with general kernel are in- troduced, and the boundedness for the operators and their commutators generated by BMO and Lipschitz functions are obtained (see ...
13
Weighted endpoint estimates for multilinear commutator of singular integral operators with non smooth kernels
... ( < p < ∞ ). In [, ], the boundedness properties of the commutators for the extreme values of p are obtained. In this paper, we will introduce the multilinear commutator of singular integral ...
17
Boundedness of rough singular integral operators and commutators on Morrey Herz spaces with variable exponents
... invariant singular integral operators, they also appear in the characterization of multiplier on Hardy spaces and in the regularity theory for elliptic and parabolic equations in divergence form; see ...
15
A sharp inequality for multilinear singular integral operators with non smooth kernels
... of singular integral operators and their commutators, multilinear sin- gular integral operators have been well studied (see ...the singular integral operators with ...
14
Weighted boundedness of multilinear operators associated to singular integral operators with non smooth kernels
... the singular integral operators and the weighted BMO and Lipschitz functions on L p (R n ) ( < p < ∞) spaces is obtained (also see ...some singular integral operators with ...
18
Weighted boundedness for Toeplitz type operators related to strongly singular integral operators
... strongly singular integral operator is ...strongly singular integral operator is ...gular integral operators and their commutators is ...strongly singular integral ...
11
A note on rate of convergence of double singular integral operators
... In paper [], Bardaro et al. obtained some approximation results concerning the point- wise convergence and the rate of pointwise convergence for non-convolution type linear operators at a Lebesgue point. In ...
13
Unsteady Spillway Flows by Singular Integral Operators Method
... ously solved by A. H. D. Cheng, J. A. Liggett and P. L. F. Liu [14] by using the Boundary Integral Equation Method (B.I.E.M.) and by V. T. Chow [39] by using ex- perimental results. Thus, a comparison will be made ...
6
Convergence of Singular Integral Operators in Weighted Lebesgue Spaces
... Bardaro, Karsli and Vinti [5] obtained some approximation results related to the point- wise convergence and the rate of pointwise convergence for non-convolution type linear op- erators at a Lebesgue point based on ...
13
On the asymptotic expansion of certain plane singular integral operators
... In the theory of pseudo-differential equations the main difficulty is studying model op- erators in canonical domains according to a local principle. It shows that for a Fredholm property of a general pseudo-differential ...
13
A Class of Singular Integral Operators Associated to Surfaces of Revolution
... Operators of the type (1.2) have been studied quite extensively (see [1-13] and therein numerous references). We refer the readers to see Stein-Wainger’s report [14, 15] for more background information. In 1996, ...
6
Lipschitz estimates for commutators of singular integral operators associated with the sections
... appearing operators in harmonic analysis that have been extensively studied ...pseudodifferential operators, studying linear PDEs with measur- able coefficients and the integrability theory of the Jacobians, ...
12
Continuity for some multilinear operators of integral operators on Triebel Lizorkin spaces
... fractional integral operator; in [10, 11], these results on the Triebel-Lizorkin spaces and the case b ∈ Lip β (where Lip β is the homogeneous Lipschitz space) are ...multilinear operators related to ...
9
Inequality estimates for the boundedness of multilinear singular and fractional integral operators
... the singular integral operators, their commutators and multilinear operators have been well studied (see ...multilinear operators generated by the singular integral ...
15
q Integral inequalities associated with some fractional q integral operators
... In recent years the study of fractional q-integral inequalities involving functions of inde- pendent variables has been an important research subject in mathematical analysis be- cause the inequality technique is ...
13
Angular estimations of certain integral operators
... The object of the present paper is to derive some argument properties of certain integral operators.. Our results contain some interesting corollaries as the special cases..[r] ...
6
Positive Integral Operators With Analytic Kernels
... To construct examples of positive definite integral kernels which are also analytic, we need to recall the following definitions (see [2], [3], [4], [5]).. Throughout, let us denote the[r] ...
23