Abstract
In this paper, we establish three kinds of endpoint estimates for a class of multilinear singular integral operators and obtain the boundedness of this kind of multilinear singular integral operators on the product of BMO spaces, product of LMO spaces, and product of λ-central BMO spaces, respectively. Moreover, as special cases, the corresponding results of multilinear Calderón–Zygmund operators can be deduced.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11001266
Award Identifier / Grant number: 11171345
Funding statement: This research was supported by the National Natural Science Foundation of China (nos. 11001266 and 11171345), Beijing Higher Education Young Elite Teacher Project (YETP0946), and the Fundamental Research Funds for the Central Universities (2009QS16).
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Articles in the same Issue
- Frontmatter
- Quantitative q-Voronovskaya and q-Grüss–Voronovskaya-type results for q-Szász operators
- Weak solutions for generalized stationary Oldroyd-B fluid with a diffusive stress
- Invertibility characterization of Wiener–Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization
- Mixed type boundary value problems for polymetaharmonic equations
- Screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations
- Continuous dependence of a solution of a neutral functional differential equation on the right-hand side and initial data taking into account perturbations of variable delays
- On nonlinear boundary value problems for higher order functional differential equations
- The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces
- Endpoint estimates for multilinear singular integral operators
- Remark on zeros of solutions of second-order linear ordinary differential equations
- Bounds for Bateman's G-function and its applications
- Weighted generalized Drazin inverse in rings
- Lp-theory of boundary integral operators for domains with unbounded smooth boundary
- The Sobolev space of half-differentiable functions and quasisymmetric homeomorphisms
Articles in the same Issue
- Frontmatter
- Quantitative q-Voronovskaya and q-Grüss–Voronovskaya-type results for q-Szász operators
- Weak solutions for generalized stationary Oldroyd-B fluid with a diffusive stress
- Invertibility characterization of Wiener–Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization
- Mixed type boundary value problems for polymetaharmonic equations
- Screen type mixed boundary value problems for anisotropic pseudo-Maxwell’s equations
- Continuous dependence of a solution of a neutral functional differential equation on the right-hand side and initial data taking into account perturbations of variable delays
- On nonlinear boundary value problems for higher order functional differential equations
- The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces
- Endpoint estimates for multilinear singular integral operators
- Remark on zeros of solutions of second-order linear ordinary differential equations
- Bounds for Bateman's G-function and its applications
- Weighted generalized Drazin inverse in rings
- Lp-theory of boundary integral operators for domains with unbounded smooth boundary
- The Sobolev space of half-differentiable functions and quasisymmetric homeomorphisms