9 citations · 47 across the 25 of their papers we have counts for
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math.FA2018★ 3 cited
Function spaces of logarithmic smoothness: embeddings and characterizations
Oscar Domínguez, Sergey Tikhonov
In this paper we present a comprehensive treatment of function spaces with logarithmic smoothness (Besov, Sobolev, Triebel-Lizorkin). We establish the following results: Sharp embe…
math.AP2018
Weighted gradient inequalities and unique continuation problems
laura De Carli, Dmitry Gorbachev, Sergey Tikhonov
We use Pitt inequalities for the Fourier transform to prove the following weighted gradient inequality $$ \|e^{-τ\ell(\cdot)} u^{\frac 1q} f\|_q\leq c_τ\| e^{-τ\ell(\cdot)} v^{\fra…