SOBOLEV ESTIMATES OF SOLUTIONS OF THE . . .-NEUMANN PROBLEM ON PARAMETERS.

Let *[This character cannot be converted to ASCII text] be a smoothly bounded pseudoconvex complex manifold with a family of almost complex structures *[This character cannot be converted to ASCII text], 0 ∈ I. Assume that there is a smooth function λ which is strictly plurisubharmonic with respect to the structure *[This character cannot be converted to ASCII text] in a neighborhood of bM. Then we prove the global regularity for *[This character cannot be converted to ASCII text]-Neumann problem in Sobolev spaces both in space and parameter variables. [ABSTRACT FROM AUTHOR]