A review of Hardy inequalities
EB Davies - The Maz'ya Anniversary Collection: Volume 2: Rostock …, 1999 - Springer
L 1~;2 ::; c2 (Q(f) + allfl12) Page 1 Operator Theory: Advances and Applications, Vol. 110 ©
1999 Birkhiiuser Verlag BaseVSwitzerland A review of Hardy inequalities E. B. DAVIES We …
1999 Birkhiiuser Verlag BaseVSwitzerland A review of Hardy inequalities E. B. DAVIES We …
[图书][B] The functional calculus for sectorial operators
M Haase, M Haase - 2006 - Springer
In Section 2.1 the basic theory of sectorial operators is developed, including examples and
the concept of sectorial approximation. In Section 2.2 we introduce some notation for certain …
the concept of sectorial approximation. In Section 2.2 we introduce some notation for certain …
Maximal L p-regularity for Parabolic Equations, Fourier Multiplier Theorems and-functional Calculus
PC Kunstmann, L Weis - Functional analytic methods for evolution …, 2004 - Springer
In these lecture notes we report on recent breakthroughs in the functional analytic approach
to maximal regularity for parabolic evolution equations, which set off a wave of activity in the …
to maximal regularity for parabolic evolution equations, which set off a wave of activity in the …
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 …
[图书][B] Sobolev spaces, their generalizations and elliptic problems in smooth and Lipschitz domains
MS Agranovich - 2015 - Springer
The first two chapters contain introductory courses. Chapter 1 presents the theory of Sobolev-
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …
[PDF][PDF] Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
VS Guliyev - Journal of inequalities and applications, 2009 - Springer
We consider generalized Morrey spaces with a general function defining the Morrey-type
norm. We find the conditions on the pair which ensures the boundedness of the maximal …
norm. We find the conditions on the pair which ensures the boundedness of the maximal …
Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
Let $ L $ be the infinitesimal generator of an analytic semigroup on $ L^ 2 ({\mathbb R}^ n) $
with suitable upper bounds on its heat kernels. Auscher, Duong, and McIntosh defined a …
with suitable upper bounds on its heat kernels. Auscher, Duong, and McIntosh defined a …
Semigroups and evolution equations: functional calculus, regularity and kernel estimates
W Arendt - Handbook of differential equations: Evolutionary …, 2002 - Elsevier
This is a survey on recent developments of the theory of one-parameter semigroups and
evolution equations with special emphasis on functional calculus and kernel estimates. Also …
evolution equations with special emphasis on functional calculus and kernel estimates. Also …
Hardy and BMO spaces associated to divergence form elliptic operators
S Hofmann, S Mayboroda - Mathematische Annalen, 2009 - Springer
Consider a second order divergence form elliptic operator L with complex bounded
measurable coefficients. In general, operators based on L, such as the Riesz transform or …
measurable coefficients. In general, operators based on L, such as the Riesz transform or …
Riesz transform on manifolds and heat kernel regularity
[1] Alexopoulos G., An application of homogeneization theory to harmonic analysis: Harnack
inequalities and Riesz transforms on Lie groups of polynomial growth, Canad. J. Math. 44 …
inequalities and Riesz transforms on Lie groups of polynomial growth, Canad. J. Math. 44 …