Daniel Spector

activity

20152020

L^{1}

embeddings in the subelliptic setting

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

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math.FA2020

An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces

Ángel D. Martínez, Daniel Spector

It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequal…

math.FA2019★ 2 cited

Some remarks on $L^{1}$ embeddings in the subelliptic setting

Steven G. Krantz, Marco M. Peloso, Daniel Spector

In this paper we establish an optimal Lorentz estimate for the Riesz potential in the $L^{1}$ regime in the setting of a stratified group $G$ : Let $Q \geq 2$ be the homogeneous dimens…

math.FA2018

An Optimal Sobolev Embedding for $L^{1}$

Daniel Spector

In this paper we establish an optimal Lorentz space estimate for the Riesz potential acting on curl-free vectors: There is a constant $C = C (α, d) > 0$ such that \[ \|I_αF \|_{L^{d/(d-α…

An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces

Some remarks on L1 embeddings in the subelliptic setting

An Optimal Sobolev Embedding for L1

Some remarks on $L^{1}$ embeddings in the subelliptic setting

An Optimal Sobolev Embedding for $L^{1}$