Results 71 to 80 of about 1,623 (101)

Singular Oscillatory Integrals on R^n

open access: yes, 2009
Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1.
A. Carbery   +3 more
core   +1 more source

Global boundedness of a class of multilinear Fourier integral operators

open access: yesForum of Mathematics, Sigma, 2021
We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López   +2 more
doaj   +1 more source

Rough Maximal Oscillatory Singular Integral Operators [PDF]

open access: yes, 2005
2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces.
Al-Salman, Ahmad
core  

Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals

open access: yes, 2012
Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of positive dyadic operators. We give an elementary self-contained proof of this fact, which is simpler than the probabilistic arguments used for all previous results in this ...
Hytönen, Tuomas P.   +2 more
core   +1 more source

Estimates for evolutionary partial differential equations in classical function spaces

open access: yesForum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro   +3 more
doaj   +1 more source

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

open access: yesAdvances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj   +1 more source

Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

open access: yesOpen Mathematics, 2016
In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
doaj   +1 more source

Addendum to "Maximal regularity and Hardy spaces"

open access: yes, 2008
We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.
Auscher, Pascal   +2 more
core   +1 more source

Construction of Frames on the Heisenberg Groups

open access: yesAnalysis and Geometry in Metric Spaces, 2020
In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen   +2 more
doaj   +1 more source

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

open access: yesDemonstratio Mathematica
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
doaj   +1 more source

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