Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II

Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces F˙p,qα for the endpoint case of p= ∞ and the full scale of parameters α∈ R and q∈ (0 , ∞]. In particular, a Peetre-type characterization of the anisotropic Besov space B˙∞,∞α=F˙∞,∞α is obtained. As a consequence, it is shown that...

Anisotropic Triebel–Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I

This paper provides maximal function characterizations of anisotropic Triebel–Lizorkin spaces associated to general expansive matrices for the full range of parameters p∈ (0 , ∞) , q∈ (0 , ∞] and α∈ R. The equivalent norm is defined in terms of the decay of wavelet coefficients, quantified by a Peetre-type space over a one-parameter dilation...

Cinematic London

Preconceived notions about the scope of architecture and its definition as a purely spatial dimension produced or analysed through one-to-one translated two-dimensional images and drawings do not convey the true experience of space. It lacks movements, emotions, human activities, memories, experiences and perceptions. Perceptions that transcend...

Fruitful friction as a strategy to scale social innovations

New approaches to overcome complex societal problems of today are the need of the hour, especially to enable the transition to a sustainable future (Concilio & Tosoni, 2019). Here, social innovations present new ways to tackle global problems on a local scale; that when put together, can create a transformation on a systemic level while...

On the accuracy and convergence of the finite element method for truss and frame structures

During applied mechanics courses for undergraduates, the words `finite element' will be mentioned if a structural problem is so complex that it cannot be solved analytically or simply because it would require too much time to solve it by hand. The lecturer refers to a software package and explains how to work with it. Unfortunately, during these...