BMO-Boundedness of Lusin's Area Function.
Elementary operators on Banach algebras and Fourier transform
We consider elementary operators , acting on a unital Banach algebra, where and are separately commuting families of generalized scalar elements. We give an ascent estimate and a lower bound estimate for such an operator. Additionally, we give a weak variant of the Fuglede-Putnam theorem for an elementary operator with strongly commuting families and , i.e. (), where all and ( and ) commute. The main tool is an L¹ estimate of the Fourier transform of a certain class of functions...
On Dyakonov type theorems for harmonic quasiregular mappings
We prove two Dyakonov type theorems which relate the modulus of continuity of a function on the unit disc with the modulus of continuity of its absolute value. The methods we use are quite elementary, they cover the case of functions which are quasiregular and harmonic, briefly hqr, in the unit disc.
Smena promenljive kod Lebegovog integrala
On embeddings, traces and multipliers in harmonic function spaces
Trace theorems in harmonic function spaces on , multipliers theorems and related problems
Međunarodna matematička takmičenja 1997. godine
On Lipschitz continuity of harmonic quasiregular maps on the unit ball in .
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