On composition of maximal operator and Bochner-Riesz operator at the critical index
نویسندگان
چکیده
منابع مشابه
Weak Type Estimates of the Maximal Quasiradial Bochner-riesz Operator on Certain Hardy Spaces
LetM be a real-valued n×nmatrix whose eigenvalues have positive real parts. Then we consider the dilation group {At}t>0 in R generated by the infinitesimal generator M , where At = exp(M log t) for t > 0. We introduce At-homogeneous distance functions ̺ defined on R; that is, ̺ : R → [0,∞) is a continuous function satisfying ̺(Atξ) = t̺(ξ) for all ξ ∈ R. One can refer to [3] and [11] for its fundam...
متن کاملA Weighted Inequality for the Maximal Bochner-riesz Operator on R2 By
For/e ¿"(R2), let (7£/)"(£) = (1 |£|2«2)î/(£). It is a well-known theorem of Carleson and Sjölin that T" defines a bounded operator on Z,4 if a > 0. In this paper we obtain an explicit weighted inequality of the form / sup \T%f(x)\2w(x)dxti( \f\2Paw(x)dx, 0 0. This strengthens the above theorem of Carleson and Sjölin. The method gives information on the maximal...
متن کاملImproved Bounds for Bochner-riesz and Maximal Bochner-riesz Operators
In this note we improve the known L p-bounds for Bochner-Riesz operators and their maximal operators.
متن کاملThe Bochner-Riesz means for Fourier-Bessel expansions: Norm inequalities for the maximal operator and almost everywhere convergence
In this paper, we develop a thorough analysis of the boundedness properties of the maximal operator for the Bochner-Riesz means related to the Fourier-Bessel expansions. For this operator, we study weighted and unweighted inequalities in the spaces Lp((0, 1), x2ν+1 dx). Moreover, weak and restricted weak type inequalities are obtained for the critical values of p. As a consequence, we deduce th...
متن کاملThe Operator Fejér-Riesz Theorem
The Fejér-Riesz theorem has inspired numerous generalizations in one and several variables, and for matrixand operator-valued functions. This paper is a survey of some old and recent topics that center around Rosenblum’s operator generalization of the classical Fejér-Riesz theorem. Mathematics Subject Classification (2000). Primary 47A68; Secondary 60G25, 47A56, 47B35, 42A05, 32A70, 30E99.
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: Proceedings of the American Mathematical Society
سال: 2020
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14897