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HOLOMORPHIC MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL OF ℂn
2013
Journal of the Korean Mathematical Society
Preserved Fulltext
On the unit ball of C n , the space of those holomorphic functions satisfying the mean Lipschitz condition 1 0 ωp(t, f ) q dt t 1+αq < ∞ is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where ωp(t, f ) denotes the L p modulus of continuity defined in terms of the unitary transformations of C n .
doi:10.4134/jkms.2013.50.1.189
fatcat:g2mcdckcr5f45eigjvkqzxesxe