Points of nonsquareness of Lorentz spaces Γ p , w

Criteria for nonsquare points of the Lorentz spaces of maximal functions are presented under an arbitrary (also degenerated) nonnegative weight function w. The criteria for nonsquareness of Lorentz spaces and of their subspaces of all order continuous elements, proved directly in (Kolwicz and Panfil in Indag. Math. 24:254-263, 2013), are deduced. MSC: 46E30, 46B20, 46B42.