Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals [PDF]
Journal of Theoretical Probability, 2020 AbstractThe paper deals with some properties of set-valued functions having bounded Riesz p-variation. Set-valued integrals of Young type for such multifunctions are introduced. Selection results and properties of such set-valued integrals are discussed.
Mariusz Michta, Jerzy Motyl
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On boundaryvalue problems in domains without (A)-condition
Доповiдi Нацiональної академiї наук УкраїниWe study the Hilbert boundaryvalue problem for the Beltrami equations in the Jordan domains satisfying the quasihyperbolic boundary condition by Gehring—Martio, generally speaking, without the standard (A)-condition by Ladyzhenskaya—Ural'tseva.
V.Ya. Gutlyanskii +3 more
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Functions of generalized bounded variation and its multiple fourier coefficients
Publications de l'Institut Mathematique, 2018 Summary: Here, generalizing the class \((\Lambda^1,\Lambda^2)^{\ast} BV^{(p)}([0,2\pi]^2)\) to the class \((\Lambda^1,\Lambda^2)^{\ast} BV^{(p,q)}([0,2\pi]^2)\) of functions of \(p,q\)-\((\Lambda^1,\Lambda^2)^{\ast}\)-bounded variation, it is observed that the class is a Banach space with respect to the pointwise operations and the generalized ...
Darji, Kiran N., Vyas, Rajendra G.
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Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols [PDF]
, 2012 Theorems about characterization of finite rank Toeplitz operators in Fock-Segal-Bargmann spaces, known previously only for symbols with compact support, are carried over to symbols without that restriction, however with a rather rapid decay at infinity ...
Rozenblum, Grigori
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On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation [PDF]
Mathematical Inequalities & Applications, 2000 .
Pečarić, Josip +2 more
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Hyperk\"ahler Arnold Conjecture and its Generalizations
, 2011 We generalize and refine the hyperk\"ahler Arnold conjecture, which was originally established, in the non-degenerate case, for three-dimensional time by Hohloch, Noetzel and Salamon by means of hyperk\"ahler Floer theory.
Bourbaki N. +5 more
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On a class of generalized Takagi functions with linear pathwise quadratic variation
, 2015 We consider a class $\mathscr{X}$ of continuous functions on $[0,1]$ that is of interest from two different perspectives. First, it is closely related to sets of functions that have been studied as generalizations of the Takagi function.
Schied, Alexander
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Functions of bounded variation, signed measures, and a general Koksma–Hlawka inequality [PDF]
Acta Arithmetica, 2015 In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka inequality for non-uniform measures.
Aistleitner, Christoph, Dick, Josef
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Nowhere Weak Differentiability of the Pettis Integral
, 1994 For an arbitrary infinite-dimensional Banach space $\X$, we construct examples of strongly-measurable $\X$-valued Pettis integrable functions whose indefinite Pettis integrals are nowhere weakly differentiable; thus, for these functions the Lebesgue ...
Dilworth, Stephen J., Girardi, Maria
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The Constraints in Spherically Symmetric General Relativity II --- Identifying the Configuration Space: A Moment of Time Symmetry [PDF]
, 1995 We continue our investigation of the configuration space of general relativity begun in I (gr-qc/9411009). Here we examine the Hamiltonian constraint when the spatial geometry is momentarily static (MS).
B. W. DeWitt +15 more
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