Lipschitz functions
Oscillation and variation inequalities for the commutators of singular integrals with Lipschitz functions
... This paper is devoted to investigating the boundedness of the oscillation and variation operators for the commutators generated by Calderón-Zygmund singular integrals with Lipschitz functions in the ...
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An extension of the quasi-Newton method for minimizing locally Lipschitz functions
... locally Lipschitz function in each ...test functions and compared with the MY method, the smooth BFGS method, the gradient sampling method, the limited-memory BFGS method and the limited memory bundle ...
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Fourier transforms of Lipschitz functions on certain Lie groups
... (exponential functions of several ...for Lipschitz functions on MH(2), the group of motions in the pseudo Euclidean plane and MH(n), the group of hyperbolic rotations of the n-dimensional Euclidean ...
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The Near Ring of Lipschitz Functions on a Metric Space
... In the next section, we give the required definitions and elementary results. Next, we study the behavior of the set of units and also of ideals in normed near-rings of Lipschitz functions under topological ...
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The Fourier transforms of Lipschitz functions on certain domains
... 2 are especially important since they include the results corresponding x 1/2, w x We hint that the the transforms of radial Lipschitz functions and the Hankel transforms of these interp[r] ...
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Differentiability of Lipschitz functions in Lebesgue null sets
... that Lipschitz functions on R n are differentiable almost everywhere is intrinsically important and has been the source of many modern ...of Lipschitz functions on metric spaces in a way ...
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Removability of exceptional sets for differentiable and Lipschitz functions
... pointwise Lipschitz functions on X: these are the real-valued functions whose pointwise Lipschitz constants are bounded on ...pointwise Lipschitz functions they discuss have many ...
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Distance-Based Classification with Lipschitz Functions
... decision functions for metric spaces and define a corre- sponding notion of margin such that the decision function separates the training points with a large ...using Lipschitz functions as decision ...
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The Fourier transforms of Lipschitz functions on the Heisenberg group
... for Lipschitz functions on the Heisenberg group an analogue of Bernstein’s theorem on the absolute convergence of the Fourier series of Lipschitz functions of order α > 1/2 on the circle ...
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Generalization of asplund inequalities on lipschitz functions in fuzzy normed lenear spaces
... Bronstedt, A. Conjugate convex functions in topological vector space . Mat.-Fys.Medel Danska Vod Selsk 2 1964. Dolecki, S. and Kurcyusz, S. On -convexity in external problems. SIAM J. control optim. 16, 277-300 ...
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On commutators of certain fractional type integrals with Lipschitz functions
... The rest of this paper is organized as follows. In Sect. 2 we recall some relevant def- initions and previous results that are needed to state the other results, which appear in Sect. 1. The proofs of sharp maximal ...
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Estimates for Marcinkiewicz commutators with Lipschitz functions under nondoubling measures
... Abstract Under the assumption that μ is a nondoubling measure on Rd satisfying the growth condition, the author proves that the commutator Mb generated by the Marcinkiewicz integral oper[r] ...
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Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions
... In this paper, we will study the boundedness of oscillation and variation operators for the family of the multilinear singular integral related to a Lipschitz function defined by . in w[r] ...
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Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2
... In this paper, using a generalized translation operator, we prove the estimates for the generalized Fourier-Dunkl transform in the space L 21. α,n on certain classes of functions.[r] ...
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Characterization of (δ,γ)-Dini-Lipschitz Functions in Terms of Their Jacobi-Dunkl Transforms
... [9] F. Chouchane, M. Mili and K. Trim` eche, Positivity of the intertwining opertor and harmonic analysis associated with the Jacobi-Dunkl operator on R , J. Anal. Appl., 1(4) (2003), 387-412. [10] T.H. Koornwinder, ...
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Fourier transforms of Lipschitz functions on the hyperbolic plane H2
... The purpose of the present work is to study the order of magnitude of the Fourier transforms fA for larse A of complex-valued functions ,f z sating certain Lipschitz conditions in the no[r] ...
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Fourier transforms of Dini Lipschitz functions
... fx belongs to the Lipschitz TITCHMARSH [I] Theorems 84,85 proved that if p a, p in the L norm on the real Line R, then its Fourier transform f.. be longs to..[r] ...
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Generalization of Dunkl Dini Lipschitz Functions
... Dini Lipschitz condition by means of an asymptotic estimate growth of the norm of their Fourier transforms, namely we have.. Theorem 1.[r] ...
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Weighted boundedness of a multilinear operator associated to a singular integral operator with general kernels
... eral kernel are introduced, and the boundedness for the operators and their commutators generated by BMO and Lipschitz functions is obtained (see [, , ]). Motivated by these, in this paper, we study ...
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Weighted boundedness of multilinear singular integral operators
... and Lipschitz functions on Triebel-Lizorkin and L p (R n ) ( < p < ∞) spaces are ...and Lipschitz func- tions on L p (R n ) ( < p < ∞ ) spaces are obtained (also see [, ...
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