41 citations · 243 across the 26 of their papers we have counts for
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math.CA2010
Radial growth of harmonic functions in the unit ball
Kjersti Solberg Eikrem, Eugenia Malinnikova
We study harmonic functions which admit a certain majorant in the unit ball in . We prove that when the majorant fulfills a doubling condition, the extremal growth or decay…
math.CV2010★ 6 cited
Radial oscillation of harmonic functions in the Korenblum class
Yurii Lyubarskii, Eugenia Malinnikova
We study radial behavior of harmonic functions in the unit disk belonging to the Korenblum class. We prove that functions which admit two-sided Korenblum estimate either oscillate…
math.AP2010★ 21 cited
Quantitative uniqueness for elliptic equations with singular lower order terms
E. Malinnikova, S. Vessella
We use a Carleman type inequality of Koch and Tataru to obtain quantitative estimates of unique continuation for solutions of second order elliptic equations with singular lower or…