2 citations · 2 across the 2 of their papers we have counts for
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On Korn-Maxwell-Sobolev Inequalities
Franz Gmeineder, Daniel Spector
We establish a family of inequalities that allow one to estimate the -norm of a matrix-valued field by the -norm of an elliptic part and the $\mathr…
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…
Taylor's Theorem for Functionals on BMO with Application to BMO Local Minimizers
Daniel E. Spector, Scott J. Spector
In this note two results are established for energy functionals that are given by the integral of over with $\nab…
BMO and Elasticity: Korn's Inequality; Local Uniqueness in Tension
Daniel E. Spector, Scott J. Spector
In this manuscript two estimates are obtained, one for Linear Elasticity and one for Nonlinear Elasticity. It is first shown that the -seminorm of the gradient of a vect…
On the dimensional weak-type bound for Riesz transforms
Daniel Spector, Cody B. Stockdale
Let denote the Riesz transform on . We prove that there exists an absolute constant such that \begin{align*} |\{|R_jf|>λ\}|\leq C\left(\fr…