Abstract
In
[S. Yang and Y. Lin,
Multilinear strongly singular integral operators with generalized kernels and applications,
AIMS Math. 6 2021, 12, 13533–13551], the authors of the present paper further weaken the smoothness condition of kernel functions with multilinear strongly singular Calderón–Zygmund operators of [Y. Lin,
Multilinear theory of strongly singular Calderón–Zygmund operators and applications,
Nonlinear Anal. 192 2020, Article ID 111699]. They defined a new class of multilinear strongly singular integral operators, and studied its weighted
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12071052
Funding statement: This research is supported by the National Natural Science Foundation of China (No. 12071052).
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Articles in the same Issue
- Frontmatter
- On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities
- Multiplicative Lie-type derivations on standard operator algebras
- Numerical radius inequalities and estimation of zeros of polynomials
- Convolution equations on the Lie group G = (-1,1)
- Positive solutions for a fourth-order p-Laplacian boundary value problem
- Existence and asymptotic behavior of strictly convex solutions for singular k-Hessian equations with nonlinear gradient terms
- Characterization of Jordan two-sided centralizers and related maps on triangular rings
- Convergence and integrability of rational and double rational trigonometric series with coefficients of bounded variation of higher order
- Weak and strong type inequalities criteria for fractional maximal functions and fractional integrals associated with Gegenbauer differential operator
- Generating sets of F/R' Leibniz algebras
- New results of uncertain integrals and applications
- Multilinear commutators of multilinear strongly singular integral operators with generalized kernels
Articles in the same Issue
- Frontmatter
- On the numerical solvability of the initial problem with weight for ordinary linear differential systems with singularities
- Multiplicative Lie-type derivations on standard operator algebras
- Numerical radius inequalities and estimation of zeros of polynomials
- Convolution equations on the Lie group G = (-1,1)
- Positive solutions for a fourth-order p-Laplacian boundary value problem
- Existence and asymptotic behavior of strictly convex solutions for singular k-Hessian equations with nonlinear gradient terms
- Characterization of Jordan two-sided centralizers and related maps on triangular rings
- Convergence and integrability of rational and double rational trigonometric series with coefficients of bounded variation of higher order
- Weak and strong type inequalities criteria for fractional maximal functions and fractional integrals associated with Gegenbauer differential operator
- Generating sets of F/R' Leibniz algebras
- New results of uncertain integrals and applications
- Multilinear commutators of multilinear strongly singular integral operators with generalized kernels