Holomorphic Mean Lipschitz Spaces and Hardy Sobolev Spaces on the Unit Ball
نویسندگان
چکیده
For points z = (z1, · · · , zn) and w = (w1, · · · , wn) in C we write 〈z, w〉 = z1w1 + · · ·+ znwn, |z| = √ |z1| + · · ·+ |zn|. Let B = {z ∈ C : |z| < 1} denote the open unit ball and let S = {ζ ∈ C : |ζ| = 1} denote the unit sphere in C. The normalized Lebesgue measures on B and S will be denoted by dv and dσ, respectively. Let H(B) denote the space of all holomorphic functions in B. Given 0 < r < 1, 0 < p <∞, and f ∈ H(B), we define
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