For the domains of the space Rⁿ, n≥2, 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, Ω} be a norm which is transferred in some natural manner to the space of harmonic functions in the domain Ω and which in the unit circle of the space ℝ² turns into the norm of the Hardy space H^p and let ℋ^p(Ω) be the space of harmonic functions in Ω with this norm. One establishes, in particular, sufficient conditions on the measure V, for which one has the inequality[Figure not available: see fulltext.].