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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...
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...
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...
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...
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...
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...
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...
In this paper, we shall study Lp€boundedness of two kinds of maximal operators related to some families of singular integrals.
In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(Sn-1) which is known to be the most desirable size condition for the Lp boundedness to hold. W...
In this paper, we consider integal operators defined by kernel functions. It is well known the boundedness of such kind of operators as Shur Lemma type statements. But, the norm of operators was estim...

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