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In this note we determine the lower and upper estimates for the essential norm of a composition operator on the Orlicz spaces under certain conditions.
Abstract. In this paper we obtain global estimates in Orlicz spaces for weak solutions of p-Laplacian systems in R N for N ≥ 2. Our results improve the known results for such problems.
A result is found which is similar to BDG-inequalities, but in the framework of exponential (non moderate) Orlicz spaces. A special class of such spaces is introduced and its properties are discussed ...
In the context of generalized Orlicz spaces , the concepts of inclusion, convergence and separability are studied.
On Global Approximation Properties of Abstract Integral Operators in Orlicz Spaces and Applications.
We present the exact values of nonsquare constants, von Neumann--Jordan constants, Jung constants, packing constants, weakly convergent sequence coefficients and normal structure coefficients in a cla...
Let $(\Omega ,\mu )$ be a $\sigma $-finite measure space and $\Phi :\Omega \times \lbrack 0,\infty )\rightarrow \lbrack 0,\infty ]$ be a Musielak--Orlicz function. Denote by $L^{\Phi }(\Omega )$ the M...

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