Directory UMM :Journals:Journal_of_mathematics:GMJ:
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In this paper we study two approaches for the defi- nition of the first order Orlicz-Sobolev spaces with zero boundary values on arbitrary metric spaces.. We
Then we prove some regularity results, in the sense of Sobolev or H¨older spaces (see Theorems 5, 6), when the coefficients are more regular, as well as the generalization of all
Pick, Weighted inequalities of weak and extra– weak type for the maximal operator and the Hilbert transform.. To appear
A. The necessary and sufficient conditions are derived in or- der that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal
Also, the necessary and sufficient conditions are found for pairs of weights, which provide the validity of two-weighted inequalities for the generalized Hardy operator in the
To prove absolute Tauberian theorems with the aid of absolute summa- bility factors for double series and sequences we need to generalize some important theorems about
In [13], by a change of variables the quasilinear problem was transformed to a semilinear one and an Orlicz space framework was used as the working space, and they were able to
Key words and phrases: Approximation Theory, Weierstrass’ the- orem, Sobolev spaces, weighted Sobolev spaces, G-valued polynomials, G- valued smooth
