On sharp Sobolev-type inequalities for multidimensional Cauchy measures

Kapitel in diesem Buch

1. Frontmatter I
2. Foreword V
3. Contents VII
4. Hardy spaces associated to the Kohn Laplacian on a family of model domains in Cⁿ⁺¹ 1
5. Affine mixed Rayleigh quotients 29
6. Riesz potentials and Hardy–Morrey spaces 49
7. A conjecture regarding compact Lie groups and its consequences 79
8. The singular Fredholm integral operators and related integral equations of Chandrasekhar type 89
9. Extended multichannel weighted Schatten p-norm minimization for color image denoising 105
10. The boundedness of a bilinear oscillatory integral 123
11. On sharp Sobolev-type inequalities for multidimensional Cauchy measures 135
12. Banach lattice-valued q-variation and convexity 153
13. Weighted boundedness of Marcinkiewicz integral operators and related singular integral operators 167
14. A spectral comparison note 195
15. On existence and nonexistence of nonnegative solutions to heat equation on Riemannian manifolds 207
16. The Neumann problem for the Laplacian in half-spaces 219
17. An inequality on the mass of image of rectifiable chain under Lipschitz map 253
18. Boundedness of general alternative Gaussian singular integrals on Gaussian variable Lebesgue spaces 261
19. Remarks on weak–strong uniqueness for two-fluid model 281
20. Coercive inequalities on Carnot groups and applications 291
21. On exponential Yang–Mills fields and p-Yang–Mills fields 317
22. Index 359