In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are discussed.In particular,a series of martingale inequalities including the maximal function inequality in weak O...In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are discussed.In particular,a series of martingale inequalities including the maximal function inequality in weak Orlicz spaces are established;the relationships between these spaces are investigated.Moreover,the boundedness of several sublinear operators from one weak Orlicz space to another is proved;their vector-valued analogues are also considered.展开更多
Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered.
In this paper, we characterize the pointwise multiplier space M(D_τ, D_μ) of Dirichlet type spaces in the unit ball of C^n for the values of τ, μ in three cases: (i)τ【0, μ【0, (ii)τ【μ, (iii) τ≥μ,τ】n. an...In this paper, we characterize the pointwise multiplier space M(D_τ, D_μ) of Dirichlet type spaces in the unit ball of C^n for the values of τ, μ in three cases: (i)τ【0, μ【0, (ii)τ【μ, (iii) τ≥μ,τ】n. and construct two functions to show that M(D_τ)D_τ properly if τ≤n and M(D_τ)M(D_μ) properly if τ】μ and τ】n-1.展开更多
基金supported by National Natural Science Foundation of China (Grant No.10671147)
文摘In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are discussed.In particular,a series of martingale inequalities including the maximal function inequality in weak Orlicz spaces are established;the relationships between these spaces are investigated.Moreover,the boundedness of several sublinear operators from one weak Orlicz space to another is proved;their vector-valued analogues are also considered.
基金supported by the Scientific Research Fund of Hunan Provincial Education Department (09A058)
文摘Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered.
基金Supported by the National Natural Science Foundation of Chinathe National Education Committee Doctoral Foundation of China
文摘In this paper, we characterize the pointwise multiplier space M(D_τ, D_μ) of Dirichlet type spaces in the unit ball of C^n for the values of τ, μ in three cases: (i)τ【0, μ【0, (ii)τ【μ, (iii) τ≥μ,τ】n. and construct two functions to show that M(D_τ)D_τ properly if τ≤n and M(D_τ)M(D_μ) properly if τ】μ and τ】n-1.
