4 citations · 4 across the 25 of their papers we have counts for
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Stability for the Affine Sobolev Inequality and its Critical Points for
Rupert L. Frank, Yinqin Li, Dachun Yang
We prove stability for the affine Sobolev inequality for exponents with best possible norm and best possible stability exponent. We also show a corresponding result for c…
A Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels
Xiaosheng Lin, Dachun Yang, Sibei Yang +2
In [Problem 3.2.23, CBMS Regional Conference Series in Mathematics 83, 1994], Kenig asked whether the vanishing Carleson condition is the necessary and sufficient for the logarithm…
A Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary Conditions
Xiaosheng Lin, Dachun Yang, Sibei Yang +2
Let . In this article, we show that there exists a bounded domain such that, for any given $s\in(1,2)\setminus\{\frac32\}…
One-Sided and Parabolic BLO Spaces with Time Lag and Their Applications to Muckenhoupt Weights and Doubly Nonlinear Parabolic Equations
Weiyi Kong, Dachun Yang, Wen Yuan
In this article, we first introduce the one-sided BLO space and characterize it, respectively, in terms of the one-sided Muckenhoupt class $A_1^+(\math…