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This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO.

Brownian motion processes. --- Hardy spaces. --- Bounded mean oscillation. --- BMO (Mathematics) --- Function spaces --- Spaces, Hardy --- Functional analysis --- Functions of complex variables --- Wiener processes --- Brownian movements --- Fluctuations (Physics) --- Markov processes

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Climatic Change is dedicated to the totality of the problem of climatic variability and change - its descriptions, causes, implications and interactions among these. The purpose of the journal is to provide a means of exchange among those working in different disciplines on problems related to climatic variations. This means that authors have an opportunity to communicate the essence of their studies to people in other climate-related disciplines and to interested non-disciplinarians, as well as to report on research in which the originality is in the combinations of (not necessarily original) work from several disciplines. The journal also includes vigorous editorial and book review sections.

Geology. Earth sciences --- Climatic changes --- Climat --- Periodicals. --- Changements --- Périodiques --- Periodicals --- Offprints --- Klimaatveranderingen. --- Earth Sciences --- Environmental Sciences --- Physics --- Environmental Geology --- Meteorology --- Atmospheric Science --- General and Others --- Changes, Climatic --- Changes in climate --- Climate change --- Climate change science --- Climate changes --- Climate variations --- Climatic change --- Climatic fluctuations --- Climatic variations --- Global climate changes --- Global climatic changes --- Climatology --- Climate change mitigation --- Global environmental change --- Teleconnections (Climatology) --- Environmental aspects

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Water resources development --- Water-supply --- Climatic changes --- Changes, Climatic --- Climate change --- Climate changes --- Climate variations --- Climatic change --- Climatic fluctuations --- Climatic variations --- Global climate changes --- Global climatic changes --- Environmental aspects --- Climatology --- Climate change mitigation --- Teleconnections (Climatology) --- Changes in climate --- Climate change science --- Global environmental change

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An exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO).

Stochastic processes --- Harmonic analysis. Fourier analysis --- Mathematical physics --- Molecular physics --- Brownian motion processes --- Bounded mean oscillation --- Bounded mean oscillation. --- Brownian motion processes. --- Hardy spaces. --- 530.162 --- 536 --- Hardy spaces --- Spaces, Hardy --- Functional analysis --- Functions of complex variables --- Wiener processes --- Brownian movements --- Fluctuations (Physics) --- Markov processes --- BMO (Mathematics) --- Function spaces --- 536 Heat. Thermodynamics --- Heat. Thermodynamics --- 530.162 Principle of disordered phenomena. Brownian movement. Reversibility. Indeterminacy principle --- Principle of disordered phenomena. Brownian movement. Reversibility. Indeterminacy principle

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Economic growth --- Economics --- 330.35 --- 330.33 --- 336.748.12 --- Business cycles --- Economic development --- Inflation (Finance) --- Macroeconomics --- Statics and dynamics (Social sciences) --- AA / International- internationaal --- 331.00 --- 338.8 --- 333.841 --- Dynamics and statics (Social sciences) --- Equilibrium (Social sciences) --- Social evolution --- Social sciences --- Sociology --- Finance --- Natural rate of unemployment --- Development, Economic --- Growth, Economic --- Economic policy --- Development economics --- Resource curse --- Economic cycles --- Economic fluctuations --- Cycles --- Financial crises --- Economische groei. Kwantitatieve toename. Technische vooruitgang --zie ook {338.09} --- Conjunctuurtheorieen. Krisistheorieen. Kondratiefcyclus --- Algemeen prijsniveau. Prijsindex. Prijsstijging --- Economische bewegingen: algemeenheden. --- Economische groei. --- Inflatie. --- Business cycles. --- Economic development. --- Macroeconomics. --- Inflation (Finance). --- Statics and dynamics (Social sciences). --- 336.748.12 Algemeen prijsniveau. Prijsindex. Prijsstijging --- 330.33 Conjunctuurtheorieen. Krisistheorieen. Kondratiefcyclus --- 330.35 Economische groei. Kwantitatieve toename. Technische vooruitgang --zie ook {338.09} --- Economische bewegingen: algemeenheden --- Inflatie --- Economische groei