We expand the results of arXiv:1105.5165, where a holographic description of
a conformal field theory defined on a manifold with boundaries (so called BCFT)
was proposed, based on AdS/CFT. We construct gravity duals of conformal field
theories on strips, balls and also time-dependent boundaries. We show a
holographic g-theorem in any dimension. As a special example, we can define a
`boundary central charge' in three dimensional conformal field theories and our
holographic g-theorem argues that it decreases under RG flows. We also computed
holographic one-point functions and confirmed that their scaling property
agrees with field theory calculations. Finally, we give an example of string
theory embedding of this holography by inserting orientifold 8-planes in
AdS(4)xCP(3).Comment: 41 pages, 10 figures; v2: further comments on earlier papers about a
holographic dual with boundarie