Z[i] Z[i] π 4,1 (x) π 4,3 (x) 1 x (x ) 2 log x π m,a (x) 1 x ϕ(m) log x 1.1 ( ). π(x) x (a, m) = 1 π m,a (x) x modm a 1 π m,a (x) 1 ϕ(m) π(x)

We prove a continuous embedding that allows us to obtain a boundary trace imbedding result for anisotropic Musielak-Orlicz spaces, which we then apply to obtain an existence result

7   European Consortium of Earthquake Shaking Tables, Innovative Seismic Design Concepts f or New and Existing Structures; ”Seismic Actions”, Report No.. Newmark, "Current Trend

In the second section, we study the continuity of the functions f p (for the definition of this function see the abstract) when (X, f ) is a dynamical system in which X is a

More general problem of evaluation of higher derivatives of Bessel and Macdonald functions of arbitrary order has been solved by Brychkov in [7].. However, much more

This paper introduces certain elliptic Harnack inequalities for harmonic functions in the setting of the product space M × X, where M is a (weighted) Riemannian manifold and X is

After this Introduction, in Section 2 we introduce some necessary notation, recall some basic facts about convex and concave functions and state, prove and discuss our main result

Algebraic curvature tensor satisfying the condition of type (1.2) If ∇J ̸= 0, the anti-K¨ ahler condition (1.2) does not hold.. Yet, for any almost anti-Hermitian manifold there

Global transformations of the kind (1) may serve for investigation of oscilatory behavior of solutions from certain classes of linear differential equations because each of