Papers by Miroslav Jevtic
Acta Mathematica Hungarica, 1999
We study harmonic Bergman functions on the unit ball B in Rn. Among our main results are: For the... more We study harmonic Bergman functions on the unit ball B in Rn. Among our main results are: For the Bergman kernel Kα(x, y) of the orthogonal projection Pα of L2,α-1 onto the harmonic Bergman space l2,α-1 the following estimate holds: $\left| {K_\alpha (x,y)} \right| = O\left( {\left| {x - y} \right|^{ - n + 1 - \alpha } } \right),{\text{ }}x \in B,{\text{ }}y \in \partial B$ . The Bergman projection Pα is bounded for the range 1 < p < ∞. Also, Pα maps L∞ onto the harmonic Bloch space B∞ and C0(B) onto the little harmonic Bloch space B0. The duals of the harmonic Bergman spaces lp,α-1 are calculated for all p > 0 and α > 0.
We give several characterizations of holomorphic mean Besov-Lipschitz space on the unit ball in C... more We give several characterizations of holomorphic mean Besov-Lipschitz space on the unit ball in C N and appropriate Besov-Lipschitz space and prove the equivalences between them. Equivalent norms on the mean Besov-Lipschitz space involve different types of L p -moduli of continuity, while in characterizations of Besov-Lipschitz space we use not only the radial derivative but also the gradient and the tangential derivatives. The characterization in terms of the best approximation by polynomials is also given.
Uploads
Papers by Miroslav Jevtic