Let α∈（0,∞ ）, p, q ∈[1, ∞）, s be a nonnegative integer, and ω∈ A1（Rn） （tne class of Muckenhoupt＇s weights）. In this paper, we introduce the generalized weighted Morrey- Campanato space L（α, p, q, s, ...Let α∈（0,∞ ）, p, q ∈[1, ∞）, s be a nonnegative integer, and ω∈ A1（Rn） （tne class of Muckenhoupt＇s weights）. In this paper, we introduce the generalized weighted Morrey- Campanato space L（α, p, q, s, ω; Rn） and obtain its equivalence on different p∈ [1, β） and 1 integers s ≥[nα] （the integer part of nα）, whereβ = （1/q - α）-1 when α 〈 1/qorβ= ∞ when α ≥1/q We then introduce the generalized weighted Lipschitz space A（α, q, w; Rn） and prove that L（a, p, q, s, w; Rn）С ∧（α, q, w; Rn） when α ∈ （0, ∞）, s ≥[nα], and p∈ [1,β）.展开更多
基金supported by the National Natural Science Foundation of China(10871025)
文摘Let α∈（0,∞ ）, p, q ∈[1, ∞）, s be a nonnegative integer, and ω∈ A1（Rn） （tne class of Muckenhoupt＇s weights）. In this paper, we introduce the generalized weighted Morrey- Campanato space L（α, p, q, s, ω; Rn） and obtain its equivalence on different p∈ [1, β） and 1 integers s ≥[nα] （the integer part of nα）, whereβ = （1/q - α）-1 when α 〈 1/qorβ= ∞ when α ≥1/q We then introduce the generalized weighted Lipschitz space A（α, q, w; Rn） and prove that L（a, p, q, s, w; Rn）С ∧（α, q, w; Rn） when α ∈ （0, ∞）, s ≥[nα], and p∈ [1,β）.
