Multilinear strongly singular integral operators on non-homogeneous metric measure spaces
Copyright policy )Multilinear strongly singular integral operators on non-homogeneous metric measure spaces
AbstractLet $(X,d,\mu )$ ( X , d , μ ) be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non-homogeneous metric measure spaces is proved. As an application, the boundedness in Morrey spaces for multilinear strongly singular integral operators is also obtained.
- University of Science and Technology of China China (People's Republic of)
- School of Mathematical Sciences
- Chaohu University China (People's Republic of)
Standard probability space, Metric (unit), Multilinear strongly singular integral, Economics, Mathematical analysis, Multilinear map, Fractional Laplacian Operators, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Homogeneous, Global Well-Posedness of Nonlinear Wave Equations, Data mining, Mathematical Physics, Singular integral, Integral equation, Boundedness, Applied Mathematics, Pure mathematics, Measure (data warehouse), Morrey spaces, Computer science, Lebesgue spaces, Operations management, Combinatorics, Non-homogeneous metric measure spaces, Physical Sciences, Mathematics
Standard probability space, Metric (unit), Multilinear strongly singular integral, Economics, Mathematical analysis, Multilinear map, Fractional Laplacian Operators, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Homogeneous, Global Well-Posedness of Nonlinear Wave Equations, Data mining, Mathematical Physics, Singular integral, Integral equation, Boundedness, Applied Mathematics, Pure mathematics, Measure (data warehouse), Morrey spaces, Computer science, Lebesgue spaces, Operations management, Combinatorics, Non-homogeneous metric measure spaces, Physical Sciences, Mathematics
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