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Real-Variable Theory and Fourier Integral Operators on Semisimple Lie Groups and Symmetric Spaces of Real Rank One
Real-Variable Theory Fourier Integral Operators Semisimple Lie Groups Symmetric Spaces Real Rank One
2014/4/3
Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will p...
A T(1)-Theorem for non-integral operators
T (1)-Theorem T (b)-Theorem paraproducts Davies-Gaffney estimates Hardy and BMO spaces
2011/9/16
Abstract: Let $X$ be a space of homogeneous type and let $L$ be a sectorial operator with bounded holomorphic functional calculus on $L^2(X)$. We assume that the semigroup $\{e^{-tL}\}_{t>0}$ satisfie...
Approximation of Fourier Integral Operators by Gabor multipliers
Fourier Integral operators modulation spaces short-time Fourier transform Gabor multipliers
2011/9/1
Abstract: A general principle says that the matrix of a Fourier integral operator with respect to wave packets is concentrated near the curve of propagation. We prove a precise version of this princip...
Stability of Localized Integral Operators on Weighted $L^p$ spaces
Integral operator weighted function space Muckenhoupt weight spectrum Bessel potential infinite matrix Wiener’s lemma
2011/8/31
Abstract: In this paper, we consider localized integral operators whose kernels have mild singularity near the diagonal and certain Holder regularity and decay off the diagonal. Our model example is t...
Bounds on oscillatory integral operators based on multilinear estimates
oscillatory integral operators multilinear estimates
2011/2/22
Let S ⊂ Rn be a smooth, compact hyper-surface with positive definite second fundamental form. Let σ be its surface measure.We prove the following result with respect to the Fourier restriction/e...
An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis
fire, boilover Stefan problems heat balance integral
2011/1/20
Stefan prob lems rel e vant to burn ing oil-wa ter sys tems are for mu lated. Two mov ing bound ary sub-prob lems are de fined: burn ing liq uid sur face and for ma tion of a dis til la tion (“hot zon...
A generalization of Osgood's test and a comparison criterion for integral equations with noise
Osgood’s test comparison criterion time of explosion
2011/1/19
In this work, we prove a generalization of Osgood’s test for the ex-plosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of integral equations ...
Multiple G-Itô integral in the G-expectation space
Sublinear expectation G-Brownian motion G-Itˆ o integral
2011/1/17
In this paper, motivated by mathematic finance we introduce the multiple G-Itˆo integral in the G-expectation space, then investigate how to calculate. We get the the relationship between Hermite...
In some previous papers we have defined and studied a ’magnetic’ pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we...
Sufficient Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data
Orientation-preserving non-Carleman shift Cauchy singular integral operator
2010/12/14
Suppose is an orientation preserving diffeomorphism (shift)of R+ = (0,∞) onto itself with the only fixed points 0 and ∞. We establish sufficient conditions for the Fredholmness of the singular integ...
Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces
Exponential type spinor orbitals Slater type spinor orbitals Addition theorems
2010/12/9
The analytical relations in position, momentum and four-dimensional spaces are established
for the expansion and one-range addition theorems of relativistic complete orthonormal sets
of exponential ...
Explicit Bounds on Some Nonlinear Retarded Integral Inequalities
Integral inequality retarded nonlinear explicit bound
2010/1/25
In this paper some new retarded integral inequalities are established and explicit bounds on the unknown functions are derived. The present results extend some existing ones proved by Lipovan in [A re...
Some Applications of the Generalized Bernardi-Libera-Livingston Integral Operator on Univalent Functions
Analytic function Integral operator Univalent function
2010/4/16
In this paper by making use of the generalized Bernardi-Libera-Livingston integral operator we introduce and study some new subclasses of univalent functions. Also we investigate the relations between...
Some Properties for an Integral Operator Defined by Al-Oboudi Differential Operator
Analytic functions Differential operator
2010/1/22
In this paper, we investigate some properties for an integral operator defined by Al-Oboudi differential operator.
Some Maximal Operators related to Singular Integral Operators
Maximal operator Singular Integral Littlewood-Paley Theory Lp€ boundedness
2018/4/20
In this paper, we shall study Lp€boundedness of two kinds of maximal operators related to some families of singular integrals.