We prove a growth theorem for a function to belong to the class \sum(\mu;a) and generalize a Weierstrass-Enneper representation type theorem for the minimal surfaces given in  to spacelike minimal surfaces which lie in 3-dimensional Lorentz-Minkowski space L^3. We also obtain some estimates of the Gaussian curvature of the minimal surfaces in 3-dimensional Euclidean space R^3 and of the spacelike minimal surfaces in L^3.
Minimal surface, isothermal parameters, Weierstrass-Enneper representation, quasiconformal harmonic mapping
TAŞTAN, HAKAN METE and POLATOĞLU, YAŞAR
"On quasiconformal harmonic mappings lifting to minimal surfaces,"
Turkish Journal of Mathematics: Vol. 37:
2, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss2/8