Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with
smooth boundary, are not only of considerable intrinsic interest but have for many years …

This book deals with the constructive Weierstrassian approach to the theory of function
spaces and various applications. The first chapter is devoted to a detailed study of …

This is the first part of the second revised and extended edition of the well established book"
Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition …

Operator theory and functional analysis have a long tradition, initially being guided by
problems from mathematical physics and applied mathematics. Much of the work in Banach …

We present reiteration formulae with limiting values θ= 0 and θ= 1 for a real interpolation
method involving slowly varying functions. Applications to the Lorentz–Karamata spaces, the …

Let $ u $ and $ b $ be two weight functions on $(0,\infty) $. Assume that u is continuous on
$(0,\infty) $ and that $ b $ is such that the function $ B (t)=\int_0^ tb (s)\, ds $ satisfies $0< B …

In [2],(1.3) is regarded as a special case of Pitt's inequality. In [16],(1.3) is called the
uncertainty principle lemma. A dilational characterization of this inequality is given in [14] …

In mathematical modelling, the data and solutions are represented as measurable functions
and their quality is oftentimes captured by the membership to a certain function space. One …

We study the convergence and decay rate to equilibrium of bounded solutions of the
quasilinear parabolic equation on a bounded domain, subject to Dirichlet boundary and to …

In this paper, we establish Hardy inequalities of logarithmic type involving singularities on
spheres in R n R^n in terms of the Sobolev-Lorentz-Zygmund spaces. We prove it by …