45 citations · 124 across the 8 of their papers we have counts for
8 papers
On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
Aysegul Alabalik, Alexandre Almeida, Stefan Samko
We consider subspaces of Morrey spaces defined in terms of various vanishing properties of functions. Such subspaces were recently used to describe the closure of $C_0^\infty(\math…
Approximation in Morrey spaces
Alexandre Almeida, Stefan Samko
A new subspace of Morrey spaces whose elements can be approximated by infinitely differentiable compactly supported functions is introduced. Consequently, we give an explicit descr…
Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces
Vagif S. Guliyev, Javanshir J. Hasanov, Stefan G. Samko
We consider local "complementary" generalized Morrey spaces ${\dual \cal M}_{\{x_0\}}^{p(\cdot),\om}(\Om)$ in which the -means of function are controlled over $\Om\backslash B(x…
Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup
Humberto Rafeiro, Stefan Samko
Under the standard assumptions on the variable exponent (log- and decay conditions), we give a characterization of the variable exponent Bessel potential space $\mathfrak B^…
Weighted Boundedness of the Maximal, Singular and Potential Operators in Variable Exponent Spaces
V. Kokilashvili, S. Samko
We present a brief survey of recent results on boundedness of some classical operators within the frameworks of weighted spaces with variable exponent $p(x)…
Operators of Harmonic Analysis in Weighted Spaces with Non-standard Growth
V. Kokilashvili, S. Samko
Last years there was increasing an interest to the so called function spaces with non-standard growth, known also as variable exponent Lebesgue spaces. For weighted such spaces on…