This paper studies the mixed radial-angular integrability of parametric Marcinkiewicz integrals along"polynomial curves".Under the assumption that the kernels satisfy certain rather weak size conditions on t...This paper studies the mixed radial-angular integrability of parametric Marcinkiewicz integrals along"polynomial curves".Under the assumption that the kernels satisfy certain rather weak size conditions on the unit sphere with radial roughness,the authors prove that such operators are bounded on the mixed radial-angular spaces.Meanwhile,corresponding vector-valued versions are also obtained.展开更多
In this paper,we establish a characterization of the mixed radial-angularλ-central bounded mean oscillation spaces via the boundedness of the commutators Hb and its dual Hb*with a function b∈CMOL_(rad)^(p2,λ)L_(ang...In this paper,we establish a characterization of the mixed radial-angularλ-central bounded mean oscillation spaces via the boundedness of the commutators Hb and its dual Hb*with a function b∈CMOL_(rad)^(p2,λ)L_(ang)^(p1)(R^(n)).展开更多
基金supported by the NSFC(11771358,11701333,11871101)。
文摘This paper studies the mixed radial-angular integrability of parametric Marcinkiewicz integrals along"polynomial curves".Under the assumption that the kernels satisfy certain rather weak size conditions on the unit sphere with radial roughness,the authors prove that such operators are bounded on the mixed radial-angular spaces.Meanwhile,corresponding vector-valued versions are also obtained.
基金Supported by the Fundamental Mathematics Research Program of Yili Normal University(Grant No.2021YSY B071)the Doctoral Scientific Research Foundation of Northwest Normal University(Grant No.202203101202)the Young Teachers Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2023-15)。
文摘In this paper,we establish a characterization of the mixed radial-angularλ-central bounded mean oscillation spaces via the boundedness of the commutators Hb and its dual Hb*with a function b∈CMOL_(rad)^(p2,λ)L_(ang)^(p1)(R^(n)).
