The compact city is becoming a prevailing paradigm in the world to control urban sprawl and achieve a pattern of sustainable urban development. However, discussions of the area's overcrowded neighborhoods, its health problems, and the destruction of its green areas have inspired self-examination with respect to the compact city paradigm. High population density attracts even more residents and ...

In this paper, the boundedness properties of vector-valued intrinsic square functions and their commutators with \(BMO(\mathbb {R}^{n})\) are discussed. We first show weighted strong-type weak-type estimates in Morrey-type spaces. Then, we obtain analogues endpoint case, establish weak \(L\log L\)-type for these setting Lebesgue Furthermore, prove commutator operators particular, can Morrey spa...

Restricted non-linear approximation is a type of N-term approximation where a measure ν on the index set (rather than the counting measure) is used to control the number of terms in the approximation. We show that embeddings for restricted non-linear approximation spaces in terms of weighted Lorentz sequence spaces are equivalent to Jackson and Bernstein type inequalities, and also to the upper...