Andreas Seeger

most cited

L^{p} \to L^{q}

bounds for spherical maximal operators

23 citations · 40 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2019★ 23 cited

$L^{p} \to L^{q}$ bounds for spherical maximal operators

Theresa C. Anderson, Kevin Hughes, Joris Roos +1

Let $f \in L^{p} (R^{d})$ , $d \geq 3$ , and let $A_{t} f (x)$ the average of $f$ over the sphere with radius $t$ centered at $x$ . For a subset $E$ of $[1, 2]$ we prove close to sharp $…

math.FA2010★ 17 cited

Compactness Properties of Weighted Summation Operators on Trees

Mikhail Lifshits, Werner Linde

We investigate compactness properties of weighted summation operators $V_{α, σ}$ as mapping from $ℓ_{1} (T)$ into $ℓ_{q} (T)$ for some $q \in (1, \infty)$ . Those operators are defined…

Lp→Lq bounds for spherical maximal operators

Compactness Properties of Weighted Summation Operators on Trees

$L^{p} \to L^{q}$ bounds for spherical maximal operators