Both the real-variable theory of function spaces and the boundedness of operators are
always one of the core contents of harmonic analysis, while the Lebesgue spaces are the …

We study the interpolation of Morrey-Campanato spaces and some smoothness spaces
based on Morrey spaces, eg, Besov-type and Triebel-Lizorkin-type spaces. Various …

Interpolation of Morrey Spaces on Metric Measure Spaces Page 1 Canad. Math. Bull. Vol. 57
(3), 2014 pp. 598–608 http://dx.doi.org/10.4153/CMB-2013-009-4 c Canadian Mathematical …

We show here how the methods recently applied in Debussche and Weber (2018 Electron.
J. Probab. 23 28) to solve the stochastic nonlinear Schrödinger equation on can be …

We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial
white noise on\({\mathbb {R}}^ d\) with\(d\le 2\). Because of the nonlinearity, the regularity …

Let s ∈ R, q ∈ (0, ∞, φ _1, φ _2: R^ n * 0, ∞) → 0, ∞) be two Musielak–Orlicz functions that,
on the space variable, belong to the Muckenhoupt class A _ ∞ (R^ n) uniformly on the time …

We consider the nonlinear Schrödinger equation with multiplicative spatial white noise and
an arbitrary polynomial nonlinearity on the two-dimensional full space domain. We prove …

In this paper we study elliptic and parabolic boundary value problems with inhomogeneous
boundary conditions in weighted function spaces of Sobolev, Bessel potential, Besov and …

Recently more and more attention has been paid to subspaces of Morrey spaces. The
description of interpolation results for many of these spaces is found. However, the ones for …

In this article the authors study complex interpolation of Sobolev-Morrey spaces and their
generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded …