Interpolation Spaces: An Introduction

By Jöran Bergh, J. Löfström. 2011

3,192 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1e50b80a6d13a7f3e71f482a51d72e3faec92b46

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

The Kakeya set and maximal conjectures for algebraic varieties over finite fields (2009, methodology): “in x 1,...,xn of degree at most mq −1. Then dimF Pmq−1 = mq +n− 1 n 1One can for instance use the complex interpolation method here, which works perfectly well in the mixed-norm setting, see e.g. [1]. KAKEYA FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS 19 We want to ﬁnd a nonzero polynomial P in Pmq”
Adaptive low rank wavelet methods and applications to two-electron Schrödinger equations (2012, background): “The standard Besov spaces on Ω are denoted by Bp,q(Ω) [9, 143, 29].”
The Bohr radius of the $n$-dimensional polydisk is equivalent to $\sqrt{\frac{\log n}{n}} (2013, unknown): “ i 1=1 P i 2=1 ... q P∞ im−1=1 P im=1 |a i| qm qm−1 qm !m−2 qm−1 ··· q2 q3 q1 q2 1 1 < +∞. We will interpolate between Lorentz spaces. It is well-known (see [1,3]) that if p,q∈ [1,+∞)m and θ ∈ (0,1), then [ℓ p,ℓ q]θ = ℓ r with 1 ri = θ pi + 1−θ qi for 1 ≤ i ≤ m. Our second main”
Function Spaces with Dominating Mixed Smoothness (2019, unknown): “As far as the classical complex interpolation theory of Peetre is considered, we refer again to [5] and references given there.”
Resolvent Estimates for Elliptic Systems in Function Spaces of Higher Regularity (2011, background): “For detailed representations of the theory of function spaces, we refer the reader to [3] and [14].”
Generalized Morrey spaces and trace operator (2016, methodology): “paces in [38]. Sawano and Tanaka considered the complex interpolation of Morrey spaces, Besov-Morrey spaces in [61] but there was a mistake in [61, Proposition 5.3]. The method introduced in the book [2] was not used in [61]. Yuan, Sickel and Yang overcame this problem in [97]. Other applications to”