This study investigates the restriction problem for the Riesz potentials of Hardy-Hausdorff spaces HH^1-γ(R^n)and Q-type spaces Qγ(R^n).By exploiting a geometric-measure theory generated by the indicatorlike functio...This study investigates the restriction problem for the Riesz potentials of Hardy-Hausdorff spaces HH^1-γ(R^n)and Q-type spaces Qγ(R^n).By exploiting a geometric-measure theory generated by the indicatorlike functions of compact sets,it is proved that the Riesz operator Iαcontinuously maps HH^1-γ(R^n)into the weak Morrey spaces L^q,λ/μ,*induced by a Radon measureμ,which obeys a geometric condition.展开更多
We study inhomogeneous projective oscillator representations of Lie superalgebras of Qtype on supersymmetric polynomial algebras.These representations are infinite-dimensional.We prove that they are completely reducib...We study inhomogeneous projective oscillator representations of Lie superalgebras of Qtype on supersymmetric polynomial algebras.These representations are infinite-dimensional.We prove that they are completely reducible.Moreover,these modules are explicitly decomposed as direct sums of two irreducible submodules.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11871293 and 11571217)Shandong Natural Science Foundation of China(Grant Nos.ZR2017JL008 and ZR2016AM05)University Science and Technology Projects of Shandong Province(Grant No.J15LI15)。
文摘This study investigates the restriction problem for the Riesz potentials of Hardy-Hausdorff spaces HH^1-γ(R^n)and Q-type spaces Qγ(R^n).By exploiting a geometric-measure theory generated by the indicatorlike functions of compact sets,it is proved that the Riesz operator Iαcontinuously maps HH^1-γ(R^n)into the weak Morrey spaces L^q,λ/μ,*induced by a Radon measureμ,which obeys a geometric condition.
基金Supported by the Fundamental Research Funds for the Central Universities。
文摘We study inhomogeneous projective oscillator representations of Lie superalgebras of Qtype on supersymmetric polynomial algebras.These representations are infinite-dimensional.We prove that they are completely reducible.Moreover,these modules are explicitly decomposed as direct sums of two irreducible submodules.
