3 papers
math.AP2024
Fractional nonlinear heat equations and characterizations of some function spaces in terms of fractional Gauss-Weierstrass semi-groups
Franka Baaske, Hans-Jürgen Schmeißer, Hans Triebel
We present a new proof of the caloric smoothing related to the fractional Gauss-Weierstrass semi-group in Triebel-Lizorkin spaces. This property will be used to prove existence and…
math.FA2016
The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality
Marcel Rosenthal, Hans-Juergen Schmeisser
The bidual of the closure of smooth functions with respect to the Morrey norm coincides with the Morrey space. This assertion is generalized to some Muckenhoupt weighted Morrey spa…
math.CA2016
On orders of approximation functions of generalized smoothness in Lorentz spaces
G. Akishev
This paper considers the Lorentz space with mixed norm of periodic functions of many variables and of the generalized Nikol'skii -- Besov classes. Estimates for the order of approx…