During the last 60 years the theory of function spaces has been a subject of growing interest
and increasing diversity. Based on three formally different developments, namely, the theory …

We study a collection of subclasses of BMOA defined by means of a modified Garcia norm
and show that these classes are equivalently defined by means of a modified Carleson …

Let s∈ R, τ∈[0,∞), p∈(1,∞) and q∈(1,∞]. In this paper, we introduce a new class of
function spaces F˙ p, qs, τ (Rn) which unify and generalize the Triebel–Lizorkin spaces with …

Let s,\, τ ∈ R and q ∈ (0, ∞. We introduce Besov-type spaces ̇ B^ s,\, τ _ p,\, q (R^ n) for p
∈ (0,\, ∞ and Triebel–Lizorkin-type spaces ̇ F^ s,\, τ _ p,\, q (R^ n)\rm for\, p ∈ (0,\, ∞) …

For α∈(−∞,∞), let Qα (ℝn) be the space of all measurable functions with \supι(I)^2α-nII|f(x)-
f(y)|^2|xy|^n+2αdxdy\textless\infty, where the supremum is taken over all cubes I with the …

Complex analysis is one of the most interesting areas in mathematics. Methods of complex
function theory have proven to be useful for the treatment of plane problems of mathematical …

Starting from a nondecreasing function $ K:[0,\infty)\to [0,\infty) $, we introduce a M\" obius-
invariant Banach space $ Q_K $ of functions analytic in the unit disk in the plane. We …

We characterize functions in Morrey space by p-Carleson measures. We then reveal a
simple relation between Q space and Morrey space, that is Q space can be viewed as a …

Several duality questions for fractional Carleson measures and the spaces Q α (R n) are
resolved using a new type of tent spaces. These tent spaces are defined in terms of Choquet …

There is a rapidly increasing number of papers dealing with smoothness spaces related to
Morrey spaces. It will be the aim of this survey to give an introduction to one of these …