Marijan Markovic

most citedOptimal estimates for the gradient of harmonic functions in the unit disk

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2011

Optimal estimates for harmonic functions in the unit ball

David Kalaj, Marijan Markovic

We find the sharp constants $C_{p}$ and the sharp functions $C_{p} = C_{p} (x)$ in the inequality $∣ u (x) ∣ \leq \frac{C _{p}}{( 1 - ∣ x ∣ ^{2} ) ^{(n - 1) / p}} ∥ u ∥_{h^{p} (B^{n})}, u \in h^{p} (B^{n}), x \in B^{n},$ in…

math.CV2010★ 2 cited

Optimal estimates for the gradient of harmonic functions in the unit disk

David Kalaj, Marijan Markovic

Concrete sharp constants in a pointwise estimate of the gradient of a harmonic function in the unit disk are obtained under the assumption that function belong to Hardy space $h^{p}$ …