As was shown in [4]–[7], many geometric aspects of classical linear conjugation problems with sufficiently regular (differentiable, H¨ older) coefficients can be formulated
Key Words: Inequalities, convex function, Jensen’s inequality, Jessen’s inequality, iso- tonic functional, Jessen’s functional, superadditivity, subadditivity, monotonicity,
If X is a smooth variety of finite type over a field k of characterisic p, then the category of filtration holonomic modules is closed under D X -module extensions, submodules
In Section 3 the extended Rapcs´ ak system with curvature condition is considered in the n-dimensional generic case, when the eigenvalues of the Jacobi curvature tensor Φ are
A key step in the earlier papers is the use of a global conformal capacity es- timate (the so-called Loewner estimate ) to prove that all quasiconformal images of a uniform
In Section 4, we establish parabolic Harnack principle and the two-sided estimates for Green functions of the finite range jump processes as well as H¨ older continuity of
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
Let G be a split reductive algebraic group over L. In what follows we assume that our prime number p is odd, if the root system Φ has irreducible components of type B, C or F 4, and