D. Spector:
Simple proofs of some results of Reshetnyak
Proc. Amer. Math. Soc. (Accepted Paper) 2010

G. Leoni, D. Spector:
Characterization of Sobolev and BV spaces
Journal of Functional Analysis Vol. 261, p. 29262958, 2011

T. Mengesha, D. Spector:
Localization of Nonlocal Gradients in Various Topologies
Calc. Var. and PDE (Accepted Paper) 2013

T. T. Shieh, D. Spector:
On a new class of fractional partial differential equations
Adv. Calc. Var. (Accepted Paper) 2013

R. Garg, D. Spector:
On regularity of solutions to Poisson's equation
(C. R. Acad. Sci. Paris Sér. I Math.) 2014

G. Psaradakis, D. Spector:
A Leray-Trudinger Inequality
(J. Funct. Anal.) p. 12, 2014

D. Spector:
$L^p$-Taylor approximations characterize the Sobolev space $W^{1,p}$
C. R. Acad. Sci. Paris Sér. I Math (Accepted Paper) p. 7, 2014

R. Garg, D. Spector:
On the role of Riesz potentials in Poisson's equation and Sobolev embeddings
Indiana Univ. Math. J. (Accepted Paper) p. 21, 2014

A. Schikorra, D. Spector, J. Van Schaftingen:
An $L^1$-type estimate for Riesz potentials
(Rev. Mat. Iberoam.) p. 12, 2014

J. Lellmann, K. Papafitsoros, C. Schönlieb, D. Spector:
Analysis and Application of a Non-Local Hessian
SIAM J. Imaging Sci. (Accepted Paper) p. 31, 2014

A. Schikorra, T. T. Shieh, D. Spector:
$L^p$-theory for fractional gradient PDE with VMO coefficients
(Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.) p. 10, 2015

D. Spector:
On a generalization of $L^p$-differentiability
(Preprint) p. 22, 2015

D. Spector:
A note on the sublinear Sobolev inequality
(Preprint) p. 5 pages, 2016

A. Ponce, D. Spector:
On formulae decoupling the total variation of BV functions
(Preprint) 2016

N. Fusco, D. Spector:
A Remark on an Integral Characterization of the Dual of BV
(Preprint) p. 6, 2017

A. Ponce, D. Spector:
A Boxing Inequality for the Fractional Perimeter
(Preprint) p. 32, 2017

J. Goodman, D. Spector:
Some remarks on boundary operators of Bessel extensions
(Preprint) p. 17, 2017

A. Ponce, D. Spector:
A note on the Fractional Perimeter and Interpolation
(Preprint) 2017

I. Shafrir, D. Spector:
Best constants for two families of higher order critical Sobolev embeddings
(Preprint) p. 16, 2018

D. Spector:
An Optimal Sobolev Embedding for $L^1$
(preprint) 2018

A. Ponce, D. Spector:
A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$
(Preprint) 2018

A. Schikorra, T. T. Shieh, D. Spector:
Regularity for a fractional $p$-Laplace equation
Commun. Contemp. Math. Vol. 20, N. 1, p. 7, 2018

D. Spector, J. Van Schaftingen:
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma
(Preprint) p. 20, 2018

T. T. Shieh, D. Spector:
On a new class of fractional partial differential equations II
Adv. Calc. Var. Vol. 11, N. 3, p. 289307, 2018

D. Spector, S. Spector:
Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity
Arch. Ration. Mech. Anal. (Preprint) p. 38, 2018

B. Raita, D. Spector:
A Note on Estimates for Elliptic Systems with $L^1$ Data
(Preprint) p. 8 pages, 2019

D. Spector:
New Directions in Harmonic Analysis on $L^1$
(preprint) 2019

S. Krantz, M. Peloso, D. Spector:
Some remarks on $L^1$ embeddings in the subelliptic setting
(Preprint) p. 10 pages, 2019

D. Spector:
A Noninequality for the Fractional Gradient
(preprint) 2019

D. Spector, C. B. Stockdale:
On the dimensional weak-type $(1,1)$ bound for Riesz transforms
(Preprint) 2020

D. Spector, S. J. Spector:
BMO and Elasticity: Korn's Inequality; Local Uniqueness in Tension
(Preprint) 2020

Á. D. Martínez, D. Spector:
An improvement to the John-Nirenberg inequality for functions in  critical Sobolev spaces
(preprint) 2020

F. Hernandez, D. Spector:
Fractional Integration and Optimal Estimates for Elliptic Systems
(preprint) 2020

D. Spector, S. J. Spector:
Taylor's Theorem for Functionals on BMO with Application to BMO Local  Minimizers
(preprint) 2020

G. E. Comi, D. Spector, G. Stefani:
The fractional variation and the precise representative of $BV^{\alpha,p}$ functions
Fract. Calc. Appl. Anal. Vol. 25, p. 520-558, 2022