[图书][B] Analysis in Banach spaces
Over the past fifteen years, motivated by regularity problems in evolution equations, there
has been tremendous progress in the analysis of Banach space-valued functions and …
has been tremendous progress in the analysis of Banach space-valued functions and …
The sharp weighted bound for general Calderón—Zygmund operators
TP Hytönen - Annals of mathematics, 2012 - JSTOR
For a general Calderón—Zygmund operator T on ℝ N, it is shown that
||Tf||_L^2(w)≤C(T)⋅Q\sup(f_Q^w⋅f_Q^w^{-1)⋅||f||_L^2(w) for all Muckenhoupt weights w∈ …
||Tf||_L^2(w)≤C(T)⋅Q\sup(f_Q^w⋅f_Q^w^{-1)⋅||f||_L^2(w) for all Muckenhoupt weights w∈ …
Diffusion wavelets
RR Coifman, M Maggioni - Applied and computational harmonic analysis, 2006 - Elsevier
Our goal in this paper is to show that many of the tools of signal processing, adapted Fourier
and wavelet analysis can be naturally lifted to the setting of digital data clouds, graphs, and …
and wavelet analysis can be naturally lifted to the setting of digital data clouds, graphs, and …
[图书][B] Harmonic analysis techniques for second order elliptic boundary value problems
CE Kenig - 1994 - books.google.com
In recent years, there has been a great deal of activity in the study of boundary value
problems with minimal smoothness assumptions on the coefficients or on the boundary of …
problems with minimal smoothness assumptions on the coefficients or on the boundary of …
Systems of dyadic cubes in a doubling metric space
T Hytönen, A Kairema - arXiv preprint arXiv:1012.1985, 2010 - arxiv.org
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent
systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such …
systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such …
The Solution of the Kato Square Root Problem for Second Order Elliptic Operators on Rn
The Solution of the Kato Square Root Problem for Second Order Elliptic Operators on R<sup>n</sup>
Page 1 Annals of Mathematics, 156 (2002), 633-654 The solution of the Kato square root …
Page 1 Annals of Mathematics, 156 (2002), 633-654 The solution of the Kato square root …
The Tb-theorem on non-homogeneous spaces
Cubes and dyadic lattices. Throughout the paper we will speak about dyadic cubes and
dyadic lattices, so let us first fix some terminology. A cube in RN is an object obtained from …
dyadic lattices, so let us first fix some terminology. A cube in RN is an object obtained from …
[图书][B] Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
Let $ X $ be a metric space with doubling measure, and $ L $ be a non-negative, self-adjoint
operator satisfying Davies-Gaffney bounds on $ L^ 2 (X) $. In this article we present a theory …
operator satisfying Davies-Gaffney bounds on $ L^ 2 (X) $. In this article we present a theory …
Painlevé's problem and the semiadditivity of analytic capacity
X Tolsa - 2003 - projecteuclid.org
7 (E)= sup where the supremum is taken over all analytic functions f: C\E-~ C with Ill~ 1 on
C\E, and f'(oo)= limz~ z (f (z)-f (~)). For a general set FcC, we set v (F)= sup {~(E): EC F, E …
C\E, and f'(oo)= limz~ z (f (z)-f (~)). For a general set FcC, we set v (F)= sup {~(E): EC F, E …
Weak type estimates and Cotlar inequalities for Calder\'{o} n-Zygmund operators in nonhomogeneous spaces
In the paper we consider Calder\'{o} n-Zygmund operators in nonhomogeneous spaces. We
are going to prove the analogs of classical results for homogeneous spaces. Namely, we …
are going to prove the analogs of classical results for homogeneous spaces. Namely, we …