Some embedding theorems for spaces of harmonic functions

For the domains of the space Rⁿ,n2, with a finite number of conical points, one proves embedding theorems for the spaces of harmonic functions which generalize the Littlewood-Paley and Carleson theorems. Let ·_p, be a norm which is transferred in some natural manner to the space of harmonic functions in the domain and which in the unit circle of the space ² turns into the norm of the Hardy space H^p and let ^p() be the space of harmonic functions in with this norm. One establishes, in particular, sufficient conditions on the measureV, for which one has the inequality.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 56, pp. 191–194, 1976.