Positive Sparse Domination of Variational Carleson Operators
نویسندگان
چکیده
منابع مشابه
Domination by Positive Disjointly Strictly Singular Operators
We prove that each positive operator from a Banach lattice E to a Banach lattice F with a disjointly strictly singular majorant is itself disjointly strictly singular provided the norm on F is order continuous. We prove as well that if S : E → E is dominated by a disjointly strictly singular operator, then S2 is disjointly strictly singular.
متن کاملCarleson Measures Associated with Families of Multilinear Operators
Abstract. In this work we investigate the construction of Carleson measures from families of multilinear integral operators applied to tuples of L∞ and BMO functions. We show that if the family Rt of multilinear operators possesses cancellation in each variable, then for BMO functions b1, . . . , bm, the measure |Rt(b1, . . . , bm)(x)|dxdt/t is Carleson. However, if the family of multilinear op...
متن کاملOn Generalized Carleson Operators of Periodic Wavelet Packet Expansions
Three new theorems based on the generalized Carleson operators for the periodic Walsh-type wavelet packets have been established. An application of these theorems as convergence a.e. for the periodic Walsh-type wavelet packet expansion of block function with the help of summation by arithmetic means has been studied.
متن کاملIdentification of Sparse Operators
[1] J.-L. Guermond and B. Popov, Linear advection with ill-posed boundary conditions via L1-minimization, Numerical Analysis and Modeling 4 (2007), 39–47. [2] J.-L. Guermond and B. Popov, L1-minimization methods for Hamilton-Jacobi equations: the one-dimensional case, submitted. [3] J.-L. Guermond and B. Popov, L1-approximation of stationary Hamilton-Jacobi equations, submitted. [4] J.-L. Guerm...
متن کاملVariational Sum of Monotone Operators
The sum of (nonlinear) maximal monotone operators is reconsidered from the Yosida approximation and graph-convergence point of view. This leads to a new concept, called variational sum, which coincides with the classical (pointwise) sum when the classical sum happens to be maximal monotone. In the case of subdiierentials of convex lower semicontinuous proper functions, the variational sum is eq...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2018
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201612_009